List questions from complex-integration

Published on 20 Mar 2026 - 7:24

59

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then the value of $ \frac{1-\vert a \vert^2}{\pi} \int_{\gamma} \frac{\vert dz \vert}{\vert z+a \vert^2} $.

Published on 22 Mar 2026 - 17:05

101

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Checking that a function is in $L^p(\mathbb{C})$

Published on 22 Mar 2026 - 17:38

140

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Calculate integral $\int_{0}^{2\pi} \frac{dx}{a^2\sin^2x+b^2\cos^2x}$

Published on 22 Mar 2026 - 14:22

69

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Complex integral of $\cfrac{e^{2z}}{z^4}$

Published on 24 Mar 2026 - 11:41

143

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Have I solved this complex gaussian integral correctly?

Published on 22 Mar 2026 - 19:37

127

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Evaluate the integral $ I=\frac{1}{2\pi i}\int_{\vert z \vert =R}(z-3)\sin \left(\frac{1}{z+2}\right)dz$,

Published on 23 Mar 2026 - 12:22

127

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Integrating using real parts

Published on 23 Mar 2026 - 10:06

482

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Complex integral(s)of Hyperbolic functions for different contours

Published on 24 Mar 2026 - 10:55

264

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Are the Poles inside the contour?

Published on 24 Mar 2026 - 10:12

137

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Evaluating a complex contour integral

Published on 22 Mar 2026 - 2:50

162

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Computing the integral $\int_{0}^{\infty}\frac{1-\cos x}{x^2}dx$ via complex analysis

Published on 17 Mar 2026 - 19:55

619

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$\oint_C \frac{z^2}{\exp z + 1} dz$ using residue theorem

Published on 17 Mar 2026 - 11:10

3.1k

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Integration of $\int_{-1}^{1}\frac{dx}{(x-a)\sqrt{1-x^2}}$ using Residue Calculus

Published on 17 Mar 2026 - 11:26

121

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Evaluate $ \int_0^\infty x^{a-1}\frac{\sin(\frac{1}{2}a \pi-bx)}{x^2+r^2}\, r\,dx $

Published on 23 Mar 2026 - 21:06

List Question

Contour integration with absolute value

then the value of $ \frac{1-\vert a \vert^2}{\pi} \int_{\gamma} \frac{\vert dz \vert}{\vert z+a \vert^2} $.

Checking that a function is in $L^p(\mathbb{C})$

Calculate integral $\int_{0}^{2\pi} \frac{dx}{a^2\sin^2x+b^2\cos^2x}$

Complex integral of $\cfrac{e^{2z}}{z^4}$

Have I solved this complex gaussian integral correctly?

Evaluate the integral $ I=\frac{1}{2\pi i}\int_{\vert z \vert =R}(z-3)\sin \left(\frac{1}{z+2}\right)dz$,

Integrating using real parts

Complex integral(s)of Hyperbolic functions for different contours

Are the Poles inside the contour?

Evaluating a complex contour integral

Computing the integral $\int_{0}^{\infty}\frac{1-\cos x}{x^2}dx$ via complex analysis

$\oint_C \frac{z^2}{\exp z + 1} dz$ using residue theorem

Integration of $\int_{-1}^{1}\frac{dx}{(x-a)\sqrt{1-x^2}}$ using Residue Calculus

Evaluate $ \int_0^\infty x^{a-1}\frac{\sin(\frac{1}{2}a \pi-bx)}{x^2+r^2}\, r\,dx $

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