List questions from improper-integrals

Published on 29 Jul 2014 - 20:35

110

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Integration of $x/(x^2+1)$ from $-\infty$ to $\infty$

Published on 29 Jul 2014 - 22:34

147

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Evaluate $\int_{1}^{\infty} \frac{\ln{(2x-1)}}{x^2} $

Published on 30 Jul 2014 - 18:19

197

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Help on the Integration of $\int_0^{\infty} e^{-bx}\sin ax^2 \, \mathrm{d}x$.

Published on 31 Jul 2014 - 16:27

661

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A probabilistic integral $\int_{-\infty}^{\infty}e^{-x^2/2\sigma^2}\arcsin\left(1-2\left|\lfloor x\rceil-x\right|\right)\,dx$

Published on 01 Aug 2014 - 5:19

270

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Show that $\int^{\infty}_0 \frac{\sin^4 x}{x^4}=\frac{\pi} 3$.

Published on 01 Aug 2014 - 14:34

5.2k

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How do you integrate Gaussian integral with contour integration method?

Published on 28 Mar 2026 - 15:12

83

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Existence of $\int_{0}^{1} \frac{\left\vert\,\log\left(x\right)\,\right\vert}{\sin\left(\sqrt{\,x\,}\,\right)}\,{\rm d}x$

Published on 02 Aug 2014 - 10:42

87

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Convergence of the improper integral $\int_{0}^{\infty}\frac{x^{p-1}}{1+qx}dx$

Published on 02 Aug 2014 - 21:23

96

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Why are these indefinite integrals nonzero?

Published on 03 Aug 2014 - 2:41

191

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Improper multivariable integrals

Published on 03 Aug 2014 - 4:03

88

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Improper integral $\int_{B}\frac {1}{|x|^\alpha}dV$

Published on 03 Aug 2014 - 6:01

256

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Integral $\int_0^\infty \frac{\sin^2(x)}{x^2(x^2+1)} dx$ =?

Published on 21 Mar 2026 - 22:49

137

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Improper integral ???

Published on 05 Aug 2014 - 10:44

733

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Transforming an improper integral to one with limits $0$ and $1$.

Published on 05 Aug 2014 - 16:57

List Question

Improper integral of a cosine

Integration of $x/(x^2+1)$ from $-\infty$ to $\infty$

Evaluate $\int_{1}^{\infty} \frac{\ln{(2x-1)}}{x^2} $

Help on the Integration of $\int_0^{\infty} e^{-bx}\sin ax^2 \, \mathrm{d}x$.

A probabilistic integral $\int_{-\infty}^{\infty}e^{-x^2/2\sigma^2}\arcsin\left(1-2\left|\lfloor x\rceil-x\right|\right)\,dx$

Show that $\int^{\infty}_0 \frac{\sin^4 x}{x^4}=\frac{\pi} 3$.

How do you integrate Gaussian integral with contour integration method?

Existence of $\int_{0}^{1} \frac{\left\vert\,\log\left(x\right)\,\right\vert}{\sin\left(\sqrt{\,x\,}\,\right)}\,{\rm d}x$

Convergence of the improper integral $\int_{0}^{\infty}\frac{x^{p-1}}{1+qx}dx$

Why are these indefinite integrals nonzero?

Improper multivariable integrals

Improper integral $\int_{B}\frac {1}{|x|^\alpha}dV$

Integral $\int_0^\infty \frac{\sin^2(x)}{x^2(x^2+1)} dx$ =?

Improper integral ???

Transforming an improper integral to one with limits $0$ and $1$.

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