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2 lines
74 KiB
Plaintext
2 lines
74 KiB
Plaintext
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"/><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Theoretical<span class="_ _0"> </span>Computer<span class="_ _0"> </span>Science<span class="_ _0"> </span>Cheat<span class="_ _0"> </span>Sheet</div><div class="t m0 x44 h3 y2 ff2 fs0 fc0 sc0 ls0 ws0">Calculus Con<span class="_ _5"></span>t.</div><div class="t m0 x80 h2 y493 ff1 fs0 fc0 sc0 ls0 ws0">15.</div><div class="t m0 x1ab h6 y494 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y493 ff2 fs0 fc0 sc0 ls0 ws0">arccos</div><div class="t m0 xf1 h5 y8 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xf1 h5 y495 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x123 h3 y493 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span>arccos</span></div><div class="t m0 x1a0 h5 y8 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a0 h5 y495 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x103 h4 y493 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 xd7 h6 y117 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h3 y493 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x119 h5 y496 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x89 h4 y493 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xc9 h5 y496 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11a h3 y493 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _7a"> </span><span class="ff1">16.</span></span></span></div><div class="t m0 x74 h6 y494 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x6a h3 y493 ff2 fs0 fc0 sc0 ls0 ws0">arctan</div><div class="t m0 x2f h5 y8 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x2f h5 y495 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x16 h3 y493 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span></span>x<span class="_ _6"> </span><span class="ff2">arctan</span></div><div class="t m0 x7b h5 y8 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x7b h5 y495 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x169 h4 y493 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x113 h5 y8 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x113 h5 y495 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1a h3 y493 ff2 fs0 fc0 sc0 ls8 ws0">ln(<span class="ff3 ls0">a</span></div><div class="t m0 xb1 h5 y497 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x54 h3 y493 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xdf h5 y497 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x20 h3 y493 ff2 fs0 fc0 sc0 ls0 ws0">)<span class="ff3 lsa">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></span></div><div class="t m0 x80 h2 y3ab ff1 fs0 fc0 sc0 ls0 ws0">17.</div><div class="t m0 x1ab h6 yc ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y3ab ff2 fs0 fc0 sc0 ls0 ws0">sin</div><div class="t m0 x18c h5 y11c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x12f h3 y3ab ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">ax</span>)<span class="ff3">dx<span class="_ _7"> </span></span>=</div><div class="t m0 x94 h5 y11c ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf4 h5 y10 ff5 fs1 fc0 sc0 ls0 ws0">2<span class="ff6">a</span></div><div class="t m0 x10a h6 ya ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8c h4 y3ab ff3 fs0 fc0 sc0 ls0 ws0">ax<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">sin(</span></span>ax<span class="ff2">)<span class="_ _6"> </span>cos(</span>ax<span class="ff2">)</span></div><div class="t m0 xc4 h6 ya ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xcb h3 y3ab ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _7b"> </span><span class="ff1">18.</span></div><div class="t m0 x2f h6 yc ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x76 h3 y3ab ff2 fs0 fc0 sc0 ls0 ws0">cos</div><div class="t m0 x4b h5 y11c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x110 h3 y3ab ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">ax</span>)<span class="ff3">dx<span class="_ _7"> </span></span>=</div><div class="t m0 x169 h5 y11c ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x60 h5 y10 ff5 fs1 fc0 sc0 ls0 ws0">2<span class="ff6">a</span></div><div class="t m0 x4f h6 ya ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x113 h3 y3ab ff3 fs0 fc0 sc0 ls0 ws0">ax<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span>sin(</span>ax<span class="ff2">)<span class="_ _6"> </span>cos(</span>ax<span class="ff2">)</span></div><div class="t m0 x1b1 h6 ya ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x24 h3 y3ab ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 y498 ff1 fs0 fc0 sc0 ls0 ws0">19.</div><div class="t m0 x1ab h6 y434 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y498 ff2 fs0 fc0 sc0 ls0 ws0">sec</div><div class="t m0 x18c h5 y44f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x93 h3 y499 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span>tan<span class="_ _6"> </span><span class="ff3">x,<span class="_ _7c"> </span><span class="ff1">20.</span></span></span></div><div class="t m0 x113 h6 y434 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x51 h3 y499 ff2 fs0 fc0 sc0 ls0 ws0">csc</div><div class="t m0 x1b2 h5 y44f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x54 h4 y499 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff4">−<span class="_ _6"></span></span>cot<span class="_ _6"> </span><span class="ff3">x,</span></span></div><div class="t m0 x80 h2 y134 ff1 fs0 fc0 sc0 ls0 ws0">21.</div><div class="t m0 x1ab h6 y249 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">sin</div><div class="t m0 x18c h5 y1f ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x146 h4 y134 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff4">−</span></span></div><div class="t m0 x6 h3 y1b ff2 fs0 fc0 sc0 ls0 ws0">sin</div><div class="t m0 x102 h5 y49a ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x1a0 h3 y1b ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span><span class="ff2">cos<span class="_ _8"> </span></span>x</div><div class="t m0 x82 h3 y2f7 ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 x1aa h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 xd8 h4 y1b ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x5 h3 y2f7 ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 x171 h6 y249 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x136 h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">sin</div><div class="t m0 x15d h5 y1f ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 xee h3 y134 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,<span class="_ _46"> </span><span class="ff1">22.</span></div><div class="t m0 x74 h6 y249 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x12 h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">cos</div><div class="t m0 x2e h5 y1f ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x5d h3 y134 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=</span></div><div class="t m0 x42 h3 y1b ff2 fs0 fc0 sc0 ls0 ws0">cos</div><div class="t m0 x78 h5 y49a ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x112 h3 y1b ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span><span class="ff2">sin<span class="_ _8"> </span></span>x</div><div class="t m0 x186 h3 y2f7 ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 x188 h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x1a h4 y1b ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x63 h3 y2f7 ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 xcf h6 y249 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x199 h3 y134 ff2 fs0 fc0 sc0 ls0 ws0">cos</div><div class="t m0 x65 h5 y1f ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 x182 h3 y134 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,</div><div class="t m0 x80 h2 y330 ff1 fs0 fc0 sc0 ls0 ws0">23.</div><div class="t m0 x1ab h6 y49b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y330 ff2 fs0 fc0 sc0 ls0 ws0">tan</div><div class="t m0 x88 h5 y2c6 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x11f h3 y330 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=</span></div><div class="t m0 x149 h3 y49c ff2 fs0 fc0 sc0 ls0 ws0">tan</div><div class="t m0 xe6 h5 y2f8 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x82 h3 y49d ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x101 h4 y355 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x10c h4 y330 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x96 h6 y49e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h3 y330 ff2 fs0 fc0 sc0 ls0 ws0">tan</div><div class="t m0 xd8 h5 y2c6 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 x11a h4 y330 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,<span class="_ _c"> </span>n<span class="_ _7"> </span><span class="ff4"><span class="ff2 ls1">=1<span class="_ _b"></span><span class="ff3 ls0">,<span class="_ _1b"> </span><span class="ff1">24.</span></span></span></span></div><div class="t m0 x10e h6 y49e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x3d h3 y330 ff2 fs0 fc0 sc0 ls0 ws0">cot</div><div class="t m0 x13 h5 y2c6 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x12c h4 y330 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff4">−</span></span></div><div class="t m0 x4c h3 y49c ff2 fs0 fc0 sc0 ls0 ws0">cot</div><div class="t m0 x33 h5 y2f8 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 xb6 h3 y49d ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x17b h4 y355 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 xa1 h4 y330 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x50 h6 y49e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x6f h3 y330 ff2 fs0 fc0 sc0 ls0 ws0">cot</div><div class="t m0 x52 h5 y2c6 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 xbc h4 y330 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,<span class="_ _c"> </span>n<span class="_ _7"> </span><span class="ff4"><span class="ff2 ls1">=1<span class="_ _b"></span><span class="ff3 ls0">,</span></span></span></div><div class="t m0 x80 h2 y3ea ff1 fs0 fc0 sc0 ls0 ws0">25.</div><div class="t m0 x1ab h6 y49f ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y3ea ff2 fs0 fc0 sc0 ls0 ws0">sec</div><div class="t m0 x18c h5 y2d ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x100 h3 y3ea ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=</span></div><div class="t m0 x2 h3 y4a0 ff2 fs0 fc0 sc0 ls0 ws0">tan<span class="_ _6"> </span><span class="ff3">x<span class="_ _8"> </span></span>sec</div><div class="t m0 x1a0 h5 y4a1 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x118 h3 y4a2 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x10a h4 y2fb ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x13c h3 y3ea ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x1b0 h4 y4a3 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">2</span></span></div><div class="t m0 x1b0 h4 y2fb ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x8e h6 y4a4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf8 h3 y3ea ff2 fs0 fc0 sc0 ls0 ws0">sec</div><div class="t m0 x179 h5 y2d ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 x11b h4 y3ea ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,<span class="_ _c"> </span>n<span class="_ _7"> </span><span class="ff4"><span class="ff2 ls1">=1<span class="_ _b"></span><span class="ff3 ls0">,</span></span></span></div><div class="t m0 x80 h2 y4a5 ff1 fs0 fc0 sc0 ls0 ws0">26.</div><div class="t m0 x1ab h6 y258 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y4a5 ff2 fs0 fc0 sc0 ls0 ws0">csc</div><div class="t m0 x18c h5 y3eb ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x100 h4 y4a6 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff4">−</span></span></div><div class="t m0 xf4 h3 y32 ff2 fs0 fc0 sc0 ls0 ws0">cot<span class="_ _6"> </span><span class="ff3">x<span class="_ _8"> </span></span>csc</div><div class="t m0 x10c h5 y33 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x99 h3 y32 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x10b h4 y4a7 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 x119 h3 y4a8 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x4 h4 y32 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">2</span></span></div><div class="t m0 x4 h4 y4a7 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1</span></span></div><div class="t m0 xca h6 y258 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x136 h3 y4a8 ff2 fs0 fc0 sc0 ls0 ws0">csc</div><div class="t m0 xdc h5 y3eb ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">2</span></span></div><div class="t m0 xfa h4 y4a6 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span>dx,<span class="_ _c"> </span>n<span class="_ _7"> </span><span class="ff4"><span class="ff2 ls1">=1<span class="_ _b"></span><span class="ff3 ls0">,<span class="_ _7d"> </span><span class="ff1">27.</span></span></span></span></div><div class="t m0 x69 h6 y258 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xaf h3 y4a6 ff2 fs0 fc0 sc0 ls0 ws0">sinh<span class="_ _6"> </span><span class="ff3 ls4">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span>cosh<span class="_ _6"> </span><span class="ff3">x,<span class="_ _7d"> </span><span class="ff1">28.</span></span></span></span></div><div class="t m0 xb8 h6 y258 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x63 h3 y4a6 ff2 fs0 fc0 sc0 ls0 ws0">cosh<span class="_ _6"> </span><span class="ff3 ls4">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span>sinh<span class="_ _6"> </span><span class="ff3">x,</span></span></span></div><div class="t m0 x80 h2 y62 ff1 fs0 fc0 sc0 ls0 ws0">29.</div><div class="t m0 x1ab h6 y341 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h4 y62 ff2 fs0 fc0 sc0 ls0 ws0">tanh<span class="_ _6"> </span><span class="ff3 ls4">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls1">=l<span class="_ _b"></span>n<span class="_ _3d"></span><span class="ff4 ls0">|<span class="_ _6"></span><span class="ff2">cosh<span class="_ _8"> </span><span class="ff3">x<span class="_ _5"></span><span class="ff4">|<span class="ff3">,<span class="_ _11"> </span><span class="ff1">30.</span></span></span></span></span></span></span></span></div><div class="t m0 x134 h6 y341 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x12a h4 y62 ff2 fs0 fc0 sc0 ls0 ws0">coth<span class="_ _6"> </span><span class="ff3 ls4">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls1">=l<span class="_ _b"></span>n<span class="_ _3d"></span><span class="ff4 ls0">|<span class="_ _6"></span><span class="ff2">sinh<span class="_ _8"> </span><span class="ff3">x<span class="_ _5"></span><span class="ff4">|<span class="ff3">,<span class="_ _11"> </span><span class="ff1">31.</span></span></span></span></span></span></span></span></div><div class="t m0 x5b h6 y341 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x48 h3 y62 ff2 fs0 fc0 sc0 ls0 ws0">sec<span class="_ _5"></span>h<span class="_ _8"> </span><span class="ff3 ls4">xd<span class="_ _9"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span>arctan<span class="_ _8"> </span>sinh<span class="_ _2"></span><span class="ff3">x,<span class="_ _11"> </span><span class="ff1">32.</span></span></span></span></div><div class="t m0 xa1 h6 y341 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x188 h3 y62 ff2 fs0 fc0 sc0 ls0 ws0">csc<span class="_ _5"></span>h<span class="_ _8"> </span><span class="ff3 ls4">xd<span class="_ _9"></span>x<span class="_ _2"></span><span class="ff2 ls1">=l<span class="_ _b"></span>n</span></span></div><div class="t m0 x21 h6 y4a9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x21 h6 y284 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x7e h3 y62 ff2 fs0 fc0 sc0 ls0 ws0">tanh</div><div class="t m0 x165 h5 y3d ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x183 h5 y4aa ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd3 h6 y4ab ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y284 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x24 h3 y62 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 y2cc ff1 fs0 fc0 sc0 ls0 ws0">33.</div><div class="t m0 x1ab h6 y41 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y2cc ff2 fs0 fc0 sc0 ls0 ws0">sinh</div><div class="t m0 x93 h5 y4ac ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18f h3 y2cc ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=</span></div><div class="t m0 x116 h5 y65 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x116 h5 y44 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x94 h4 y2cc ff2 fs0 fc0 sc0 ls0 ws0">sinh(2<span class="ff3">x</span>)<span class="_ _8"> </span><span class="ff4">−</span></div><div class="t m0 x99 h5 y65 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x99 h5 y44 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x190 h3 y2cc ff3 fs0 fc0 sc0 ls0 ws0">x,<span class="_ _7e"> </span><span class="ff1">34.</span></div><div class="t m0 x153 h6 y41 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb h3 y2cc ff2 fs0 fc0 sc0 ls0 ws0">cosh</div><div class="t m0 x16f h5 y4ac ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x73 h3 y2cc ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=</span></div><div class="t m0 x9e h5 y65 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x9e h5 y44 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x3b h3 y2cc ff2 fs0 fc0 sc0 ls0 ws0">sinh(2<span class="ff3">x</span><span class="ls9">)+</span></div><div class="t m0 x3e h5 y65 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x3e h5 y44 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x2f h3 y2cc ff3 fs0 fc0 sc0 ls0 ws0">x,<span class="_ _7e"> </span><span class="ff1">35.</span></div><div class="t m0 x6e h6 y41 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x36 h3 y2cc ff2 fs0 fc0 sc0 ls0 ws0">sec<span class="_ _5"></span>h</div><div class="t m0 x64 h5 y4ac ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1e h3 y2cc ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x<span class="_ _2"></span><span class="ff2 ls0">=<span class="_ _7"> </span>tanh<span class="_ _6"> </span><span class="ff3">x,</span></span></div><div class="t m0 x80 h2 y4ad ff1 fs0 fc0 sc0 ls0 ws0">36.</div><div class="t m0 x1ab h6 y69 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y4ad ff2 fs0 fc0 sc0 ls0 ws0">arcsinh</div><div class="t m0 xe5 h5 y45 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xe5 h5 y6c ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x12d h3 y4ae ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span></span>x<span class="_ _6"> </span><span class="ff2">arcsinh</span></div><div class="t m0 x118 h5 y45 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x118 h5 y6c ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x99 h4 y4ae ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x14d h6 y4af ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x4 h3 y4ae ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1 h5 y1ad ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xc9 h3 y4ae ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x192 h5 y1ad ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x135 h3 y4ae ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _70"> </span><span class="ff1">37.</span></span></span></div><div class="t m0 x139 h6 y69 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x6b h3 y4ae ff2 fs0 fc0 sc0 ls0 ws0">arctanh</div><div class="t m0 x30 h5 y45 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x30 h5 y6c ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x17c h3 y4ae ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span></span>x<span class="_ _6"> </span><span class="ff2">arctanh</span></div><div class="t m0 x52 h5 y45 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x52 h5 y6c ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1d h3 y4ae ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 xd0 h5 y45 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 xd0 h5 y6c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1f h4 y4ae ff2 fs0 fc0 sc0 ls0 ws0">ln<span class="_ _6"> </span><span class="ff4">|<span class="ff3">a</span></span></div><div class="t m0 xd1 h5 y45 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x7d h4 y4ae ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x184 h5 y45 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x38 h4 y4ae ff4 fs0 fc0 sc0 ls0 ws0">|<span class="ff3">,</span></div><div class="t m0 x80 h2 y3bc ff1 fs0 fc0 sc0 ls0 ws0">38.</div><div class="t m0 x1ab h6 y1ae ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y3bc ff2 fs0 fc0 sc0 ls0 ws0">arccosh</div><div class="t m0 xe5 h5 y38e ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xe5 h5 y4b0 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1a1 h3 y3bc ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x13e h6 y4b1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y4b2 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y16a ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8c h3 y1af ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span><span class="ff2">arccosh</span></div><div class="t m0 x190 h3 y448 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x190 h3 y3bf ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xc2 h4 y1af ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 xd9 h6 y1f6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8d h3 y1af ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xe7 h5 y4b3 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1b3 h3 y1af ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xda h5 y4b3 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe8 h3 y1af ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _28"> </span><span class="ff2">if arccosh</span></div><div class="t m0 x46 h5 y40d ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x46 h5 y167 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 xb3 h3 y1af ff3 fs0 fc0 sc0 ls0 ws0">><span class="_ _7"> </span><span class="ff2">0 and </span><span class="ls1">a></span><span class="ff2">0,</span></div><div class="t m0 x8c h3 y1b3 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _6"> </span><span class="ff2">arccosh</span></div><div class="t m0 x190 h3 y4b0 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x190 h3 y4b4 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xc2 h3 y1b3 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 xd9 h6 y4b5 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8d h3 y1b3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xe7 h5 y4b6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1b3 h3 y1b3 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xda h5 y4b6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe8 h3 y1b3 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _28"> </span><span class="ff2">if arccosh</span></div><div class="t m0 x46 h5 y16a ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x46 h5 y4b7 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 xb3 h3 y1b3 ff3 fs0 fc0 sc0 ls0 ws0"><<span class="_ _7"> </span><span class="ff2">0 and </span><span class="ls1">a></span><span class="ff2">0,</span></div><div class="t m0 x80 h2 y1bf ff1 fs0 fc0 sc0 ls0 ws0">39.</div><div class="t m0 x1ab h6 y1fb ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe2 h3 y4b8 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x1a3 h4 y1b8 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y28d ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 y4b9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h3 y28d ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 y4b9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf3 h3 y1bf ff2 fs0 fc0 sc0 ls1 ws0">=l<span class="_ _b"></span>n</div><div class="t m0 x13e h6 y26d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x102 h3 y1bf ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 x1a0 h6 y1fa ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd6 h3 y1bf ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x118 h5 y4ba ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x125 h3 y1bf ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xc2 h5 y4ba ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd8 h6 y26d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8a h3 y1bf ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y4bb ff1 fs0 fc0 sc0 ls0 ws0">40.</div><div class="t m0 x1ab h6 y88 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x18c h3 yaf ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x1a3 h3 yb0 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x194 h5 y4bc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18c h3 yb0 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x147 h5 y4bc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x120 h3 y4bd ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x108 h5 y4be ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x108 h5 y417 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x116 h3 y4bd ff2 fs0 fc0 sc0 ls0 ws0">arctan</div><div class="t m0 x124 h5 y4be ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x124 h5 y417 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x14a h3 y4bd ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _7f"> </span><span class="ff1">41.</span></span></span></div><div class="t m0 xac h6 y88 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x11 h6 y393 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xae h3 y4bd ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1b5 h5 y16f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x5d h4 y4bd ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x11c h5 y16f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x40 h3 y4bd ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x111 h5 y4be ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x111 h5 y417 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x162 h6 y393 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x4d h3 y4bd ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x11d h5 y16f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xfb h4 y4bd ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x18 h5 y16f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xb7 h3 y4bd ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x36 h5 y4be ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x17e h7 yaf ffc fs2 fc0 sc0 ls0 ws0">2</div><div class="t m0 x19 h5 y417 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xbb h3 y4bd ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 xf0 h5 y4be ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xf0 h5 y417 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x21 h3 y4bd ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y1c4 ff1 fs0 fc0 sc0 ls0 ws0">42.</div><div class="t m0 x1ab h6 y175 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe1 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">a</span></div><div class="t m0 xfc h5 y1c9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x88 h4 y1c4 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xf1 h5 y1c9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe5 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 xf2 h5 y1c9 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x148 h3 y1c4 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x117 h5 y176 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x117 h5 y2d0 ff5 fs1 fc0 sc0 ls0 ws0">8</div><div class="t m0 x95 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">(5<span class="ff3">a</span></div><div class="t m0 x10c h5 y1c9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x133 h4 y1c4 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">2<span class="ff3">x</span></span></div><div class="t m0 x14d h5 y1c9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xc2 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 xd8 h6 y1c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x5 h3 y1c4 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x8d h5 y41b ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf7 h4 y1c4 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x193 h5 y41b ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x179 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x157 h5 y176 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">a</span></div><div class="t m0 x151 h7 y1cb ffc fs2 fc0 sc0 ls0 ws0">4</div><div class="t m0 xdb h5 y2d0 ff5 fs1 fc0 sc0 ls0 ws0">8</div><div class="t m0 x153 h3 y1c4 ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 x59 h5 y176 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x59 h5 y2d0 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x46 h3 y1c4 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y294 ff1 fs0 fc0 sc0 ls0 ws0">43.</div><div class="t m0 x1ab h6 y208 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe2 h3 y206 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x1a3 h4 y294 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y17e ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 y9e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h4 y17e ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 y9e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf3 h3 y294 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span>arcsin</div><div class="t m0 xf5 h5 yb6 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x82 h5 y181 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 xd5 h3 y294 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _13"> </span><span class="ff1">44.</span></span></span></div><div class="t m0 x151 h6 y208 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x15e h3 y206 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x26 h3 y4bf ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xa h5 y4c0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x9b h4 y4bf ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x46 h5 y4c0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xb3 h3 y294 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x5b h3 y206 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x14e h3 y4bf ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">a</span></div><div class="t m0 x48 h3 y294 ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x3b h6 y178 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x3b h6 y209 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x3b h6 y17b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x3b h6 y181 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x5f h3 y206 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>x</div><div class="t m0 x5f h4 y4bf ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>x</div><div class="t m0 xaf h6 y178 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xaf h6 y209 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xaf h6 y17b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xaf h6 y181 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x2e h3 y294 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _13"> </span><span class="ff1">45.</span></div><div class="t m0 x34 h6 y208 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb0 h3 y206 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x13b h3 y4bf ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">a</span></div><div class="t m0 xa1 h5 y4c0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x35 h4 y4bf ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x6f h5 y4c0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x36 h3 y4bf ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 x51 h5 y4c0 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x54 h3 y294 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 xd1 h3 y206 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x168 h3 y17e ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xdf h5 y9e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x20 h4 y294 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x7e h3 y17e ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x23 h5 y9e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe0 h4 y17e ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x22 h5 y9e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x24 h3 y294 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 y4c1 ff1 fs0 fc0 sc0 ls0 ws0">46.</div><div class="t m0 x1ab h6 y4c2 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h6 yb9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b4 h3 y4c3 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18b h4 y4c3 ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe4 h3 y4c3 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 xe6 h5 y4c4 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xe6 h5 y378 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8c h6 yb9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x82 h3 y4c3 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xd5 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x103 h4 y4c3 ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x99 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x10d h4 y4c3 ff4 fs0 fc0 sc0 ls0 ws0">±</div><div class="t m0 x1b6 h5 y4c4 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x13d h7 y4c5 ffc fs2 fc0 sc0 ls0 ws0">2</div><div class="t m0 x4 h5 y378 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x5 h3 y4c3 ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x8e h6 y2d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8e h6 y4c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x8e h6 y47d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf7 h3 y4c7 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 x8 h6 yb9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xdc h3 y4c3 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x174 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11b h4 y4c3 ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x44 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xb h6 y2d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb h6 y4c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb h6 y47d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x15e h3 y4c7 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _80"> </span><span class="ff1">47.</span></div><div class="t m0 x3e h6 y4c8 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b7 h3 y3cb ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x6c h4 y4c9 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x13a h3 y4ca ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x10f h5 y4cb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x110 h4 y4ca ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x16b h5 y4cb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x17d h3 y4c3 ff2 fs0 fc0 sc0 ls1 ws0">=l<span class="_ _b"></span>n</div><div class="t m0 x61 h6 y2d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x61 h6 y4c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x61 h6 y47d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x35 h3 y4c7 ff3 fs0 fc0 sc0 ls0 ws0">x<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 x1b h6 yb9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xde h3 y4c3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xb1 h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x54 h4 y4c3 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x1f h5 y1d6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf0 h6 y2d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h6 y4c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h6 y47d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x21 h3 y4c7 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y313 ff1 fs0 fc0 sc0 ls0 ws0">48.</div><div class="t m0 x1ab h6 y2da ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x88 h3 y187 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x1a3 h3 y41f ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x18c h5 y1d8 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x93 h3 y41f ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx</span></div><div class="t m0 xe4 h3 y313 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x149 h3 y187 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x149 h3 y41f ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x94 h3 y313 ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x102 h6 y298 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x102 h6 y4cc ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x102 h6 y4cd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x102 h6 ybd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x145 h3 y187 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1af h3 y41f ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx</div><div class="t m0 x118 h6 y298 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x118 h6 y4cc ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x118 h6 y4cd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x118 h6 ybd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x97 h3 y313 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _81"> </span><span class="ff1">49.</span></div><div class="t m0 x2f h6 y2da ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xce h3 y313 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h4 y4ce ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x9f h3 y313 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx<span class="_ _6"> </span>dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x50 h4 y187 ff2 fs0 fc0 sc0 ls0 ws0">2(3<span class="ff3">bx<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span></span>2<span class="ff3">a</span>)(<span class="ff3">a<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">bx</span>)</div><div class="t m0 xd2 h5 y4cf ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x1e h3 y41f ff2 fs0 fc0 sc0 ls0 ws0">15<span class="ff3">b</span></div><div class="t m0 x7c h5 y1d8 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x24 h3 y313 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 y4d0 ff1 fs0 fc0 sc0 ls0 ws0">50.</div><div class="t m0 x1ab h6 yc3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a3 h4 y314 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y4d1 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx</div><div class="t m0 x12f h3 y192 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x12d h3 y4d2 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2 ls1">=2</span></div><div class="t m0 xe6 h4 y18d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1af h3 y4d2 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>a</div><div class="t m0 x134 h6 yc3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf6 h3 y4d1 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 xd9 h3 y3f7 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x191 h4 y191 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x16d h3 y3f7 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx</div><div class="t m0 xe8 h3 y4d2 ff3 fs0 fc0 sc0 ls0 ws0">dx,<span class="_ _80"> </span><span class="ff1">51.</span></div><div class="t m0 x11 h6 yc3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x3e h3 y4d3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x2e h4 y191 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x5d h3 y3f7 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx</div><div class="t m0 x77 h3 y4d2 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x34 h3 y4d3 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x33 h4 y191 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x112 h3 y3f7 ff2 fs0 fc0 sc0 ls0 ws0">2</div><div class="t m0 x79 h3 y4d2 ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 xa1 h6 y314 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa1 h6 y18d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa1 h6 y4d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa1 h6 y18e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x61 h4 y314 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x4f h4 y4d1 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx<span class="_ _8"> </span><span class="ff4">−</span></div><div class="t m0 x166 h4 y212 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x37 h3 y4d1 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x61 h4 y191 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x4f h3 y3f7 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>bx<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 x166 h4 y4d5 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x37 h3 y3f7 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xf0 h6 y314 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h6 y18d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h6 y4d4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h6 y18e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x21 h3 y4d6 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y2df ff1 fs0 fc0 sc0 ls0 ws0">52.</div><div class="t m0 x1ab h6 y2a3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a3 h4 y4d7 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y193 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 yd5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h4 y193 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 yd5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x93 h3 y195 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x109 h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 xe6 h6 yd5 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x10b h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xf5 h5 yd7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd5 h4 y2df ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xd7 h5 yd7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x99 h4 y2df ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a<span class="_ _6"> </span><span class="ff2">ln</span></span></div><div class="t m0 x1b8 h6 y2de ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y215 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 yd3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y198 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y4d8 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc9 h3 y193 ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 xc4 h4 y4d9 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x136 h3 y193 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x14f h5 yd5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x15d h4 y193 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xeb h5 yd5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x136 h3 y195 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x155 h6 y2de ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y215 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 yd3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y198 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y4da ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x26 h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _82"> </span><span class="ff1">53.</span></div><div class="t m0 x31 h6 y2a3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x17 h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x16b h6 yd5 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x11d h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x13b h5 yd7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x7b h4 y2df ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x4f h5 yd7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x62 h4 y2df ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span><span class="ff4">−</span></span></div><div class="t m0 x166 h5 yd6 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x166 h5 y197 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 xa3 h3 y2df ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">a</span></div><div class="t m0 xf0 h5 y2a5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x21 h4 y2df ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xe0 h5 y2a5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1a7 h3 y2df ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 xd2 h5 y2a5 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x24 h3 y2df ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 y19a ff1 fs0 fc0 sc0 ls0 ws0">54.</div><div class="t m0 x1ab h6 y4db ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y19a ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x87 h5 y428 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xc8 h6 y4dc ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x100 h3 y19a ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe3 h5 y1e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1b9 h4 y19a ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x108 h5 y1e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x2 h3 y19a ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x1ac h5 y428 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1ac h5 y3d6 ff5 fs1 fc0 sc0 ls0 ws0">8</div><div class="t m0 x82 h3 y19a ff2 fs0 fc0 sc0 ls0 ws0">(2<span class="ff3">x</span></div><div class="t m0 xfd h5 y428 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd7 h4 y19a ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x119 h5 y428 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1b0 h3 y19a ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 x1b6 h6 y4dd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h3 y19a ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xc9 h5 y1e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8e h4 y19a ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x7 h5 y1e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xda h3 y19a ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 xf9 h5 y428 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe9 h7 y4de ffc fs2 fc0 sc0 ls0 ws0">4</div><div class="t m0 x174 h5 y3d6 ff5 fs1 fc0 sc0 ls0 ws0">8</div><div class="t m0 x151 h3 y19a ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 x28 h5 y428 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x28 h5 y3d6 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x59 h3 y19a ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _83"> </span><span class="ff1">55.</span></span></span></div><div class="t m0 x13a h6 y4df ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x16b h3 y4de ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x4c h4 y42a ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x17c h3 y381 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x33 h5 ye4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x4d h4 y381 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x7b h5 ye4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x169 h4 y19a ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff4">−</span></div><div class="t m0 x1a h5 y428 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1a h5 y3d6 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x17e h3 y19a ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 xb1 h6 y4e0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y4e1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 ydd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y2ad ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y4e2 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a8 h3 y4de ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 xdf h4 y219 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x21 h3 y4de ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x7e h5 y4dc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xbe h4 y4de ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x165 h5 y4dc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x21 h3 y4e2 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xd3 h6 y4e3 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y4e4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 ydd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y2ad ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y4e5 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x24 h3 y19a ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x80 h2 ye8 ff1 fs0 fc0 sc0 ls0 ws0">56.</div><div class="t m0 x1ab h6 y474 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x18c h3 yea ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x</div><div class="t m0 x1a3 h4 ye8 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y2bb ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 y2b5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h4 y2bb ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 y2b5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf3 h4 ye8 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff4">−</span></div><div class="t m0 x1a2 h6 yed ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h3 ye8 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1ac h5 y1e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x82 h4 ye8 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x132 h5 y1e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x118 h3 ye8 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _84"> </span><span class="ff1">57.</span></div><div class="t m0 xad h6 y474 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13 h3 yea ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x5d h5 y4e6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x3e h3 yea ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xb5 h4 ye8 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b5 h3 y2bb ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x5d h5 y2b5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x15 h4 y2bb ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x40 h5 y2b5 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x77 h4 ye8 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff4">−</span></div><div class="t m0 x17b h5 yf3 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x17c h5 y2e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x33 h6 yed ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x17d h3 ye8 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xec h5 y1e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x4e h4 ye8 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xb0 h5 y1e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x164 h3 ye8 ff2 fs0 fc0 sc0 ls0 ws0">+</div><div class="t m0 x19 h5 yf3 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x63 h7 yea ffc fs2 fc0 sc0 ls0 ws0">2</div><div class="t m0 x17e h5 y2e4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1c h3 ye8 ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 x55 h5 yf3 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x20 h5 y2e4 ff6 fs1 fc0 sc0 ls0 ws0">a,</div><div class="t m0 x7d h3 ye8 ff3 fs0 fc0 sc0 ls1 ws0">a><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y4e7 ff1 fs0 fc0 sc0 ls0 ws0">58.</div><div class="t m0 x1ab h6 y475 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a3 h4 y19d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b4 h3 y4e8 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe2 h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11f h3 y4e8 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x120 h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x93 h3 y4e9 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x109 h3 y4ea ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 xe6 h6 y4eb ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x10b h3 y4ea ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xf5 h5 y19e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd5 h3 y4ea ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xd7 h5 y19e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x99 h4 y4ea ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a<span class="_ _6"> </span><span class="ff2">ln</span></span></div><div class="t m0 x1b8 h6 y388 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y4ec ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 yfa ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y4e7 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b8 h6 y3a0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc9 h3 y4ed ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 xc4 h4 y19d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x136 h3 y4e8 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x14f h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x15d h3 y4e8 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xeb h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x136 h3 y4e9 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x155 h6 y388 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y4ee ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 yfa ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y4e7 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h6 y3a0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x26 h3 y4ef ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _85"> </span><span class="ff1">59.</span></div><div class="t m0 xa8 h6 y475 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb5 h4 y19d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x1b5 h3 y4e8 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x5d h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x15 h4 y4e8 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x6c h5 y3a7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x12c h3 y4e9 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h3 y4ea ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 xdd h6 y4eb ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x4d h3 y4ea ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x11d h5 y19e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xfb h4 y4ea ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xa9 h5 y19e ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x6e h4 y4ea ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a<span class="_ _6"> </span><span class="ff2">arccos</span></span></div><div class="t m0 xdf h5 y4f0 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x199 h5 y491 ff8 fs1 fc0 sc0 ls0 ws0">|<span class="ff6">x</span>|</div><div class="t m0 x21 h3 y4ea ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>><span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x80 h2 y42f ff1 fs0 fc0 sc0 ls0 ws0">60.</div><div class="t m0 x1ab h6 y476 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x86 h3 y42f ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x87 h6 y3e1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe2 h3 y42f ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x11f h5 y4f1 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x143 h4 y42f ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xe4 h5 y4f1 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x115 h3 y42f ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x8c h5 y109 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x8c h5 y4f2 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1ac h3 y42f ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x</span></div><div class="t m0 x1a0 h5 y4f3 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x10c h4 y42f ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x125 h5 y4f3 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x14c h3 y42f ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 x10d h5 y4f3 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x4 h3 y42f ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _86"> </span><span class="ff1">61.</span></div><div class="t m0 x122 h6 y476 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x43 h3 y10c ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x30 h3 y1ec ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x17c h4 y42f ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x181 h3 y1ec ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x112 h5 y4f4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xec h3 y1ec ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x61 h5 y4f4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x4f h3 y42f ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x1a h5 y109 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1a h5 y4f2 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x17e h3 y42f ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 xb1 h6 y3a9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y2bf ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y4f1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h6 y4f2 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x21 h3 y10c ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a8 h3 y1ec ff3 fs0 fc0 sc0 ls0 ws0">a<span class="_ _8"> </span><span class="ff2">+</span></div><div class="t m0 xdf h4 y42f ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x21 h3 y1ec ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x7e h5 y4f4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xbe h3 y1ec ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x165 h5 y4f4 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xd3 h6 y3a9 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y2bf ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y4f1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd3 h6 y4f2 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x24 h3 y42f ff3 fs0 fc0 sc0 ls0 ws0">,</div></div><div class="pi" data-data='{"ctm":[1.673203,0.000000,0.000000,1.673203,0.000000,0.000000]}'></div></div></div>
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