List questions from contour-integration

Published on 26 Mar 2026 - 3:01

224

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Find contour integral around the circle $\oint\frac{2z-1}{z(z-1)}dz$

Published on 20 Mar 2026 - 2:10

338

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prove that $\int_{-\infty}^{\infty} \frac{x^4}{1+x^8} dx= \frac{\pi}{\sqrt 2} \sin \frac{\pi}{8}$

Published on 20 Mar 2026 - 2:57

114

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Intuition for $\int_Cz^ndz$ for $n=-1, n\neq -1$

Published on 22 Mar 2026 - 14:26

177

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Complex integral involving Cauchy integral formula

Published on 22 Mar 2026 - 11:56

746

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Contour integration with absolute value

Published on 27 Mar 2026 - 4:18

169

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Contour Integration with $\sec{(\sqrt{1-x^2})}$

Published on 21 Mar 2026 - 10:52

1k

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Evaluating the integral $\int_0^{2\pi}e^{-\sqrt{a-b\cos t}}\mathrm dt$

Published on 20 Mar 2026 - 5:06

109

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Integral of a Gaussian multiplied with a Confluent Hypergeometric Function?

Published on 20 Mar 2026 - 11:37

382

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Can one solve $ \int_{0}^\infty\frac{\sin(xb)}{x^2+a^2}dx $ using contour integration?

Published on 21 Mar 2026 - 12:28

335

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Why can you take the supremum of f out of the integral?

Published on 20 Mar 2026 - 3:26

104

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Integral $\int_{-\infty}^{\infty} \frac{ \exp\left( i a e^{u}\right) }{ e^{b \cosh(u)} - 1 } du$

Published on 22 Mar 2026 - 11:27

117

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Prove that $\int_Bg(z)dz=\int_{B_1}g(z)dz+\int_{B_2}g(z)dz$

Published on 25 Mar 2026 - 11:33

141

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Evaluating $\int_{\mathbb{R}}e^{-(x+iy)^2}dx$? For a fixed $y \in \mathbb{R}$,

Published on 21 Mar 2026 - 21:51

78

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Complex analysis - calculate integral

Published on 27 Mar 2026 - 0:57

List Question

contour integral involving the Gamma function

Find contour integral around the circle $\oint\frac{2z-1}{z(z-1)}dz$

prove that $\int_{-\infty}^{\infty} \frac{x^4}{1+x^8} dx= \frac{\pi}{\sqrt 2} \sin \frac{\pi}{8}$

Intuition for $\int_Cz^ndz$ for $n=-1, n\neq -1$

Complex integral involving Cauchy integral formula

Contour integration with absolute value

Contour Integration with $\sec{(\sqrt{1-x^2})}$

Evaluating the integral $\int_0^{2\pi}e^{-\sqrt{a-b\cos t}}\mathrm dt$

Integral of a Gaussian multiplied with a Confluent Hypergeometric Function?

Can one solve $ \int_{0}^\infty\frac{\sin(xb)}{x^2+a^2}dx $ using contour integration?

Why can you take the supremum of f out of the integral?

Integral $\int_{-\infty}^{\infty} \frac{ \exp\left( i a e^{u}\right) }{ e^{b \cosh(u)} - 1 } du$

Prove that $\int_Bg(z)dz=\int_{B_1}g(z)dz+\int_{B_2}g(z)dz$

Evaluating $\int_{\mathbb{R}}e^{-(x+iy)^2}dx$? For a fixed $y \in \mathbb{R}$,

Complex analysis - calculate integral

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