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Laxmi Narayan Bhandari
India
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Top Questions
14
votes
A tough integral $\int_0^{\infty}\frac{\operatorname{sech}(\pi x)}{1+4x^2}\, \mathrm dx $
integration
definite-integrals
summation
geometric-series
asked Jun 20, 2021 at 15:11
math.stackexchange.com
Top Answers
11
Evaluate $\int_{0}^{\infty} \frac{\ln(x)}{x^{6}+1} dx$
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10
Evaluate $\int_0^\infty \frac{e^{-x}}{x}\ln\big(\frac{1}{x}\big) \sin(x)dx$
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9
What is the area of $y^2=\sqrt x-x$ (Guitar Pick)
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8
Integral $\int_{-\infty}^{\infty}\frac{\sin(x-\frac{a}{x})}{(x+\frac{1}{x})}dx$
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8
How should I evaluate $\int_0^{\infty}\int_0^{\infty}\frac{\sqrt[3]{x}}{1+\sqrt[3]{x}}e^{-y\pi\left(x^2+1/x^2+1\right)}\ \mathrm{d}y\ \mathrm{d}x$?
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8
For this integral: $\int_0^{\frac{\pi}{4}} x \tan(x) dx$
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7
Prove $\int^{\infty}_0 \frac{\sin(\sqrt{x})\ln^2\big(\frac{1}{\sqrt{x}}\big)}{x}dx=\frac{\pi^3}{12}+\gamma^2 \pi$
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6
$\int_0^1 e^{-x^2}dx$ a clever way to get an answer
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6
Prove $\int_0^1 \ln(x+1) \ln(x)dx=2-2\ln(2)-\frac{\pi^2}{12}$
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5
Calculate $\int_{0}^{\infty}{\frac{\ln{x}}{x^{\frac{2}{3}}(1+x)}}\mathrm dx$
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5
Solving an integral using differentiation under the integral sign
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5
A difficult Integral Question
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