List questions from contour-integration

Published on 17 Apr 2026 - 0:10

532

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Black hole integral

Published on 07 Apr 2026 - 23:04

166

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

Published on 10 May 2026 - 12:33

186

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Green's Theorem Corollary

Published on 10 May 2026 - 21:47

71

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

Published on 15 Apr 2026 - 0:03

407

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Contour integration to evaluate integral from 0 to infinity

Published on 16 Apr 2026 - 8:51

538

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

Published on 15 Apr 2026 - 23:51

189

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Looking for a bound on a contour integral

Published on 14 Apr 2026 - 6:57

289

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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 15 Apr 2026 - 17:36

535

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

Published on 15 Apr 2026 - 5:30

592

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Proof of cross product integral

Published on 10 May 2026 - 20:51

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 11 May 2026 - 3:17

108

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

Published on 15 Apr 2026 - 6:27

446

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

Published on 17 Apr 2026 - 9:34

788

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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 17 Apr 2026 - 22:29

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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