List questions from contour-integration

Published on 14 Apr 2026 - 21:23

68

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Check solutions for this integral $\oint_\Gamma \frac{3z -1}{(z+2i)^3 z^2} dz$

Published on 16 Apr 2026 - 13:17

97

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Contour integral $\int_0^1\frac{1}{(1-x^3)^{1/3}}$

Published on 16 Apr 2026 - 2:55

35

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how to solve $\int_{-\infty}^t \sin(\omega_o(t-t'))(1+\tanh(\frac{t'}{\tau}))dt'$?

Published on 10 May 2026 - 13:51

646

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Problem evaluating a contour integral using parametrization

Published on 10 May 2026 - 17:34

136

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Clarification of Cauchy-Goursat Theorem

Published on 11 Apr 2026 - 18:18

1.7k

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Solving integral using complex analysis

Published on 09 Apr 2026 - 0:24

84

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Evaluating the integral $\int_{\partial\Bbb D}\frac{e^z\sin z}{(1-e^z)^2}\, dz$

Published on 15 Apr 2026 - 7:16

642

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Contour integration problem, proving complex function is bounded

Published on 10 May 2026 - 16:07

5.3k

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Integrate sin(nx)sin(mx) from 0 to 2$\pi$ using residuals

Published on 10 May 2026 - 18:03

270

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Fourier transform of a gaussian with Cauchy theorem

Published on 14 May 2026 - 1:00

137

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Evaluate the integral $\int_0^1 \frac{x^n}{x^a(1-x)^{1-a}}\mathrm{d}x$ for any integer $n$.

Published on 10 May 2026 - 18:05

275

Views

Improper integral of the form $I=\int_{0}^{\infty} \frac{\sin(ax)}{x^2+b^2}dx$

Published on 17 Apr 2026 - 3:21

104

Views

Complex Trigonometric Integration using Residue formula

Published on 10 May 2026 - 17:34

164

Views

Minimize this integral

Published on 11 May 2026 - 2:10

List Question

Show that $e^{ta}=\frac1{2\pi i}\int_{\gamma_\alpha}\frac{e^{\lambda t}}{\lambda-a}\,d\lambda$

Check solutions for this integral $\oint_\Gamma \frac{3z -1}{(z+2i)^3 z^2} dz$

Contour integral $\int_0^1\frac{1}{(1-x^3)^{1/3}}$

how to solve $\int_{-\infty}^t \sin(\omega_o(t-t'))(1+\tanh(\frac{t'}{\tau}))dt'$?

Problem evaluating a contour integral using parametrization

Clarification of Cauchy-Goursat Theorem

Solving integral using complex analysis

Evaluating the integral $\int_{\partial\Bbb D}\frac{e^z\sin z}{(1-e^z)^2}\, dz$

Contour integration problem, proving complex function is bounded

Integrate sin(nx)sin(mx) from 0 to 2$\pi$ using residuals

Fourier transform of a gaussian with Cauchy theorem

Evaluate the integral $\int_0^1 \frac{x^n}{x^a(1-x)^{1-a}}\mathrm{d}x$ for any integer $n$.

Improper integral of the form $I=\int_{0}^{\infty} \frac{\sin(ax)}{x^2+b^2}dx$

Complex Trigonometric Integration using Residue formula

Minimize this integral

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