List questions from contour-integration

Published on 14 Apr 2026 - 12:01

62

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Closed contour within a closed contour integral

Published on 11 Apr 2026 - 7:46

987

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Clarification of Cauchy Principal Value and use of Contour Integration

Published on 12 Apr 2026 - 12:56

3.5k

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Integral $ \int_{-\infty}^{\infty}\frac{x^{2}}{\cosh\left(x\right)}\,{\rm d}x $

Published on 17 Apr 2026 - 1:59

49

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Is there no analytic form of $\int_b^c\frac{\sqrt{x}e^x\text{erfc}(\sqrt{x})}{\sqrt{a-x}}dx$ ?

Published on 15 Apr 2026 - 16:40

1.3k

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Integral $\int_0^\pi \theta^2 \ln^2\big(2\cos\frac{\theta}{2}\big)d \theta$.

Published on 16 Apr 2026 - 2:41

345

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Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration

Published on 16 Apr 2026 - 8:48

517

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Integral $=\int_0^\infty x^{\alpha -1}Li_n (-\sigma x) Li_m(-\omega x^r)dx$.

Published on 17 Apr 2026 - 8:43

960

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Contour Integral for Cosine and a rational function

Published on 13 Apr 2026 - 6:49

735

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Integral $ \int_0^1 \frac{\ln \ln (1/x)}{1+x^{2p}} dx$...Definite Integral

Published on 17 Apr 2026 - 0:10

407

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Determining asymptotic behavior through generating functions

Published on 12 Apr 2026 - 12:37

48

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Integration Exercise.Help!

Published on 09 Apr 2026 - 4:15

275

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Integral $\int_0^a \ln \left( \frac{b-\sqrt{a^2-x^2}}{b+\sqrt{a^2-x^2}} \right)dx$

Published on 16 Apr 2026 - 22:22

443

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Evaluate the contour integral: $\int_0^{2\pi} \frac{\cos mx}{x^2-1} dx$

Published on 17 Apr 2026 - 1:24

65

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Simple contour integration question?

Published on 12 Apr 2026 - 3:37

List Question

Trouble with $\int_0^\infty e^{-ix^2}\mathrm{d}x$

Closed contour within a closed contour integral

Clarification of Cauchy Principal Value and use of Contour Integration

Integral $ \int_{-\infty}^{\infty}\frac{x^{2}}{\cosh\left(x\right)}\,{\rm d}x $

Is there no analytic form of $\int_b^c\frac{\sqrt{x}e^x\text{erfc}(\sqrt{x})}{\sqrt{a-x}}dx$ ?

Integral $\int_0^\pi \theta^2 \ln^2\big(2\cos\frac{\theta}{2}\big)d \theta$.

Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration

Integral $=\int_0^\infty x^{\alpha -1}Li_n (-\sigma x) Li_m(-\omega x^r)dx$.

Contour Integral for Cosine and a rational function

Integral $ \int_0^1 \frac{\ln \ln (1/x)}{1+x^{2p}} dx$...Definite Integral

Determining asymptotic behavior through generating functions

Integration Exercise.Help!

Integral $\int_0^a \ln \left( \frac{b-\sqrt{a^2-x^2}}{b+\sqrt{a^2-x^2}} \right)dx$

Evaluate the contour integral: $\int_0^{2\pi} \frac{\cos mx}{x^2-1} dx$

Simple contour integration question?

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