List questions from contour-integration

Published on 13 Apr 2026 - 17:42

575

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Evaluate $\int_0^{\infty} \frac{1}{1+x^6} dx$ using Contour Integral

Published on 16 Apr 2026 - 11:38

160

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What is the closed form of the value of $\int_0^\pi\frac{\mathrm dx}{\sqrt x+\sin x}$, if it exists?

Published on 16 Apr 2026 - 9:15

345

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$\int ^{\infty}_0 \frac{\ln x}{x^2 + 2x+ 4}dx$

Published on 17 Apr 2026 - 12:54

546

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Inequality for Distribution of points in space

Published on 10 Apr 2026 - 13:49

459

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Residue Theorem Applied to Contour with a Cut

Published on 26 Mar 2026 - 13:57

669

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Calculating a complex line integral over circle radius 4

Published on 16 Apr 2026 - 17:03

85

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Using complex contour integration, show that an integral is...

Published on 11 Apr 2026 - 10:18

63

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Complex analysis: showing that contour integration of function cos and sin are equal

Published on 11 Apr 2026 - 23:33

291

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How to evaluate $\int_{-\infty}^{\infty}\frac{\sin^3(x)}{x^3}\mathrm{d}x$ via the complex epsilon method?

Published on 12 Apr 2026 - 16:30

850

Views

How can we show that $\int_{-\infty}^{+\infty}{ke^x\pm1\over \pi^2+(e^x-x+1)^2}\cdot{(e^x+1)^2\over \pi^2+(e^x+x+1)^2}\cdot 2x \,\mathrm dx=k?$

Published on 16 Apr 2026 - 7:07

232

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Improper complex integral

Published on 11 Apr 2026 - 15:20

504

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Determine the integral of the function $f(z)=\tan z$

Published on 14 Apr 2026 - 20:33

428

Views

Inverz Z-transform of square root with branch cut

Published on 25 Mar 2026 - 12:52

478

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Evaluating contour integrals

Published on 11 Apr 2026 - 13:17

List Question

Contour Integration of $\sin(x)/x^{1/2}$

Evaluate $\int_0^{\infty} \frac{1}{1+x^6} dx$ using Contour Integral

What is the closed form of the value of $\int_0^\pi\frac{\mathrm dx}{\sqrt x+\sin x}$, if it exists?

$\int ^{\infty}_0 \frac{\ln x}{x^2 + 2x+ 4}dx$

Inequality for Distribution of points in space

Residue Theorem Applied to Contour with a Cut

Calculating a complex line integral over circle radius 4

Using complex contour integration, show that an integral is...

Complex analysis: showing that contour integration of function cos and sin are equal

How to evaluate $\int_{-\infty}^{\infty}\frac{\sin^3(x)}{x^3}\mathrm{d}x$ via the complex epsilon method?

How can we show that $\int_{-\infty}^{+\infty}{ke^x\pm1\over \pi^2+(e^x-x+1)^2}\cdot{(e^x+1)^2\over \pi^2+(e^x+x+1)^2}\cdot 2x \,\mathrm dx=k?$

Improper complex integral

Determine the integral of the function $f(z)=\tan z$

Inverz Z-transform of square root with branch cut

Evaluating contour integrals

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