Question

Evaluate $\int_{-\infty}^\infty\frac{x}{\sin^2(\sqrt{x})\sinh^2\left(2\sqrt{2x}\right)+\pi^2\cos^2(\sqrt{x})\cosh^2\left(2\sqrt{2x}\right)}\mathrm dx$

score 2.8k · Answer 1 · 2026-04-17 11:58:31

2.8k

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Evaluate $\int_{-\infty}^\infty\frac{x}{\sin^2(\sqrt{x})\sinh^2\left(2\sqrt{2x}\right)+\pi^2\cos^2(\sqrt{x})\cosh^2\left(2\sqrt{2x}\right)}\mathrm dx$

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score 447 · Answer 2 · 2026-04-14 02:42:24

447

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140

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score 53 · Answer 7 · 2026-04-15 06:05:52

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score 139 · Answer 9 · 2026-04-14 16:44:44

139

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score 244 · Answer 10 · 2026-03-25 19:04:23

244

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score 32 · Answer 11 · 2026-04-17 00:40:32

32

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489

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score 52 · Answer 14 · 2026-04-16 10:18:45

52

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score 104 · Answer 15 · 2026-04-11 14:53:38

104

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List Question

Evaluate $\int_{-\infty}^\infty\frac{x}{\sin^2(\sqrt{x})\sinh^2\left(2\sqrt{2x}\right)+\pi^2\cos^2(\sqrt{x})\cosh^2\left(2\sqrt{2x}\right)}\mathrm dx$

Function expansion in a basis of associated Legendre polynomimals

How to use triconfluent Heun's function?

How to prove this equality of series

Gamma function minimum and maximum possible Value

Some properties of Owen's T function

Why are the two ODE solutions linearly independent?

Evaluation of a generalized hypergeometric function

What function has $\int_{-\infty}^\infty f(x) x \exp(-x^2)dx = 0$?

Is there a decomposition for the digamma function as a sum of digamma functions?

show $\left(1+\frac{x}{j}\right)^{-1}\left(1+\frac{1}{j}\right)^{x}=1+\frac{x(x-1)}{2j^{2}}+O(\frac{1}{j^{3}})$

Derivative of Bessel $K$

Integral representation Hurwitz Zeta function

show $B(x,y+1) = \frac{y}{x+y}B(x,y)$ with integration by parts

Derivation of the relation between Associated Legendre Function and Gauss Hypergeometric Function

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