List questions from contour-integration

Published on 13 Apr 2026 - 7:48

607

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Branch Cut Issues

Published on 17 Apr 2026 - 9:35

373

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Integrating using the residue theorem

Published on 12 Apr 2026 - 6:53

192

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Satisfying a Differential Equation and complex Laguerre

Published on 11 Apr 2026 - 14:43

827

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Finding $\frac{1}{2\pi}\int_{0}^{2\pi} \cos^{2n} x dx$

Published on 15 Apr 2026 - 21:13

305

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Two integrals on the form $\int_0^\infty x f(x^3) \mathrm{d}x$

Published on 15 Apr 2026 - 18:06

1.2k

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Prove that if $A$ is null and $f: \mathbb{R} \longrightarrow \mathbb{R}$ has a continuous derivative, then $f(A)$ is null

Published on 14 Apr 2026 - 5:22

2.7k

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Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$

Published on 15 Apr 2026 - 1:54

939

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Using contour integration, or other means, is there a way to find a general form for $\int_{0}^{\infty}\frac{\sin^{n}(x)}{x^{n}} \, dx$?

Published on 16 Apr 2026 - 7:40

662

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Contour Integral Question

Published on 10 Apr 2026 - 12:13

199

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Integrating over a closed contour following vector field

Published on 13 Apr 2026 - 19:09

582

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Is it possible to evaluate $ \int_0^1 x^n \, dx$ by contour integration?

Published on 17 Apr 2026 - 3:25

1.7k

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Complex part of a contour integration not using contour integration

Published on 12 Apr 2026 - 13:44

664

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$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$

Published on 18 Apr 2026 - 7:50

1.2k

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Proving that a complex integral is bounded

Published on 11 Apr 2026 - 13:12

List Question

How to integrate $\frac{\sin^2 x}{x^2}?$

Branch Cut Issues

Integrating using the residue theorem

Satisfying a Differential Equation and complex Laguerre

Finding $\frac{1}{2\pi}\int_{0}^{2\pi} \cos^{2n} x dx$

Two integrals on the form $\int_0^\infty x f(x^3) \mathrm{d}x$

Prove that if $A$ is null and $f: \mathbb{R} \longrightarrow \mathbb{R}$ has a continuous derivative, then $f(A)$ is null

Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$

Using contour integration, or other means, is there a way to find a general form for $\int_{0}^{\infty}\frac{\sin^{n}(x)}{x^{n}} \, dx$?

Contour Integral Question

Integrating over a closed contour following vector field

Is it possible to evaluate $ \int_0^1 x^n \, dx$ by contour integration?

Complex part of a contour integration not using contour integration

$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$

Proving that a complex integral is bounded

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