List questions from contour-integration

Published on 29 Mar 2026 - 2:44

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evaluate the complex integration

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Find the contour integral around unit circle: $\int_{0}^{\pi}\frac{\cos2\phi}{1-2a \cos\phi + a^2} d\phi$ $where\;a\neq \pm1$

Published on 29 Mar 2026 - 12:05

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How to solve $\int_0^{\infty}\frac{\cos{ax}}{x^3+1}dx$?

Published on 29 Mar 2026 - 2:54

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Evaluate the complex integral

Published on 29 Mar 2026 - 2:52

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How do I solve this integral with a branch point at z =0?

Published on 25 Mar 2026 - 1:26

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evaluating a contour integral where c is $4x^2+y^2=2$

Published on 29 Mar 2026 - 2:52

231

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Contour integration over a circle

Published on 29 Mar 2026 - 2:28

101

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Poles of $\frac{1}{1+x^4}$

Published on 29 Mar 2026 - 12:11

301

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Evaluate $\int_{-\infty}^\infty \frac{1}{(x^2+1)^3} dx$

Published on 29 Mar 2026 - 12:04

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Invert a somewhat tricky characteristic function to find density function

Published on 29 Mar 2026 - 1:03

332

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Evaluating $\int^{\infty }_{-\infty}\frac {z^3\sin az}{z^4+4}dz$

Published on 29 Mar 2026 - 12:05

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Countour integral using residue theorem: $ \int_{\gamma} \tanh(z) dz $ where $\gamma(t) = e^{it}$ and $0 \leq t \leq 2\pi$.

Published on 28 Mar 2026 - 2:24

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Generating function of the Laguerre Polynomials

Published on 29 Mar 2026 - 12:03

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Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$

Published on 25 Mar 2026 - 9:40

List Question

Evaluate the contour integration

evaluate the complex integration

Find the contour integral around unit circle: $\int_{0}^{\pi}\frac{\cos2\phi}{1-2a \cos\phi + a^2} d\phi$ $where\;a\neq \pm1$

How to solve $\int_0^{\infty}\frac{\cos{ax}}{x^3+1}dx$?

Evaluate the complex integral

How do I solve this integral with a branch point at z =0?

evaluating a contour integral where c is $4x^2+y^2=2$

Contour integration over a circle

Poles of $\frac{1}{1+x^4}$

Evaluate $\int_{-\infty}^\infty \frac{1}{(x^2+1)^3} dx$

Invert a somewhat tricky characteristic function to find density function

Evaluating $\int^{\infty }_{-\infty}\frac {z^3\sin az}{z^4+4}dz$

Countour integral using residue theorem: $ \int_{\gamma} \tanh(z) dz $ where $\gamma(t) = e^{it}$ and $0 \leq t \leq 2\pi$.

Generating function of the Laguerre Polynomials

Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$

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