List questions from contour-integration

Published on 07 Jun 2023 - 9:42

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Bound the integral $\int_{C_R}{\frac{\sin(z)}{z^2}e^{inz}\, dz}$

Published on 08 Jun 2023 - 19:59

92

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I am really confused about finding poles of certain complex functions.

Published on 11 Jun 2023 - 19:12

104

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Solving the integral $\int_{0}^{2\pi}\frac{dt}{(a+b\cos(t))^2}$

Published on 01 Apr 2026 - 19:38

106

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Where is the mistake $\oint_C \frac{e^\frac{1}{z}}{z^2-1}dz$

Published on 01 Apr 2026 - 19:39

152

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Evaluate $\int_{-1}^{1} \frac{1}{(1+x^4)\sqrt{1-x^2}}dx$ using complex integration

Published on 13 Jun 2023 - 8:33

502

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Show that $\int_0^\pi \frac{x\cos x \sinh x}{\sin^2x+\sinh^2x}dx=\frac{\pi}{2}\ln\left(\frac{e^\pi+1}{e^\pi-1}\right)$

Published on 19 Jun 2023 - 8:40

164

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Number of solutions of $e^z=ez^3$ inside the unit circle.

Published on 19 Jun 2023 - 14:28

81

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How to compute the integral $\int_{-\infty}^{\infty} \frac{\sin (t)}{t}e^{ipt} dt$ using Jordan's lemma

Published on 01 Apr 2026 - 21:34

228

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Evaluating $\int_{0}^{\infty}\frac{\sin^2(x)}{x^2(1+x^2)}\,dx$

Published on 21 Jun 2023 - 0:35

76

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Find the analiticity domain of a complex function

Published on 25 Mar 2026 - 16:13

230

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How can I solve the integral $\int_0^\infty \frac{\ln(x)}{e^x+1}~dx ?$

Published on 22 Jun 2023 - 14:31

47

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Wedge contour parameterisation with $\oint{e^{i\lambda z^p}\, dz}$

Published on 03 Apr 2026 - 7:19

162

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An integral identity: $\int_{0}^{\large\frac{π}{2}}\dfrac{\cos^{a}x\sin(a+1)x}{\sin x}\ \mathrm{d}x$

Published on 25 Mar 2026 - 22:06

24

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Contour integral with two essential singularity

Published on 28 Mar 2026 - 12:55

List Question

How to compute $\int_0^\infty \frac1{(x+a)(\ln^2x+4\pi^2)}dx$

Bound the integral $\int_{C_R}{\frac{\sin(z)}{z^2}e^{inz}\, dz}$

I am really confused about finding poles of certain complex functions.

Solving the integral $\int_{0}^{2\pi}\frac{dt}{(a+b\cos(t))^2}$

Where is the mistake $\oint_C \frac{e^\frac{1}{z}}{z^2-1}dz$

Evaluate $\int_{-1}^{1} \frac{1}{(1+x^4)\sqrt{1-x^2}}dx$ using complex integration

Show that $\int_0^\pi \frac{x\cos x \sinh x}{\sin^2x+\sinh^2x}dx=\frac{\pi}{2}\ln\left(\frac{e^\pi+1}{e^\pi-1}\right)$

Number of solutions of $e^z=ez^3$ inside the unit circle.

How to compute the integral $\int_{-\infty}^{\infty} \frac{\sin (t)}{t}e^{ipt} dt$ using Jordan's lemma

Evaluating $\int_{0}^{\infty}\frac{\sin^2(x)}{x^2(1+x^2)}\,dx$

Find the analiticity domain of a complex function

How can I solve the integral $\int_0^\infty \frac{\ln(x)}{e^x+1}~dx ?$

Wedge contour parameterisation with $\oint{e^{i\lambda z^p}\, dz}$

An integral identity: $\int_{0}^{\large\frac{π}{2}}\dfrac{\cos^{a}x\sin(a+1)x}{\sin x}\ \mathrm{d}x$

Contour integral with two essential singularity

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