List questions from contour-integration

Published on 28 Mar 2026 - 15:36

531

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Black hole integral

Published on 27 Mar 2026 - 0:55

165

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Evaluation of $\int_{0}^{\infty}\frac{\sin(bx)}{x^2}\mathrm{d}x$

Published on 25 Mar 2026 - 7:48

183

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Green's Theorem Corollary

Published on 25 Mar 2026 - 4:37

69

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Why can't I just find the residue of the function?

Published on 27 Mar 2026 - 2:37

404

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Contour integration to evaluate integral from 0 to infinity

Published on 21 Aug 2018 - 20:44

536

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Definite Integral: $\int_0^1\frac{\ln^4(x)}{x^2+1}\,dx$

Published on 26 Mar 2026 - 4:34

186

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Looking for a bound on a contour integral

Published on 24 Aug 2018 - 15:40

286

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Show $\int_{-\infty}^\infty dx \sin(ax) \log\Big(\Big| \frac{x+1}{x-1} \Big|\Big) = \frac{2 \pi \sin(a)}{a}$

Published on 26 Aug 2018 - 0:52

532

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The integral of $\frac{\log(x)}{x^{3/4}(1+x)}$ from zero to infinity using contour integration

Published on 26 Aug 2018 - 19:16

589

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Proof of cross product integral

Published on 25 Mar 2026 - 15:46

3.3k

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Using contour integration for the inverse Laplace transform to find the inverse transform of $\dfrac{s}{s^2 + a^2}$

Published on 25 Mar 2026 - 9:28

106

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Integral of $\int_{-\infty}^{\infty} \frac {dk}{ik+1}$

Published on 27 Mar 2026 - 3:42

441

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Arguments/phases due to branch cut for following keyhole contour integral?

Published on 02 Sep 2018 - 7:10

786

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Prove that $\int_0^1\,\frac{\ln(x)}{\sqrt{1-x^2}}\,\text{d}x=-\frac{\pi}{2}\,\ln(2)$.

Published on 29 Mar 2026 - 7:00

List Question

$\int_{-\infty}^\infty \frac{e^{-\lvert x \rvert}}{x^4+1}dx$

Black hole integral

Evaluation of $\int_{0}^{\infty}\frac{\sin(bx)}{x^2}\mathrm{d}x$

Green's Theorem Corollary

Why can't I just find the residue of the function?

Contour integration to evaluate integral from 0 to infinity

Definite Integral: $\int_0^1\frac{\ln^4(x)}{x^2+1}\,dx$

Looking for a bound on a contour integral

Show $\int_{-\infty}^\infty dx \sin(ax) \log\Big(\Big| \frac{x+1}{x-1} \Big|\Big) = \frac{2 \pi \sin(a)}{a}$

The integral of $\frac{\log(x)}{x^{3/4}(1+x)}$ from zero to infinity using contour integration

Proof of cross product integral

Using contour integration for the inverse Laplace transform to find the inverse transform of $\dfrac{s}{s^2 + a^2}$

Integral of $\int_{-\infty}^{\infty} \frac {dk}{ik+1}$

Arguments/phases due to branch cut for following keyhole contour integral?

Prove that $\int_0^1\,\frac{\ln(x)}{\sqrt{1-x^2}}\,\text{d}x=-\frac{\pi}{2}\,\ln(2)$.

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