List questions from complex-integration

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Find the residue of $\frac{e^{iz}}{(z^2+1)^5}$ at $z = i$ and evaluate $\int_0^{\infty} \cos x/(x^2+1)^5 dx$

Published on 27 Nov 2013 - 15:33

558

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Conditions for complex integrability

Published on 27 Nov 2013 - 17:14

64

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Integration containing a complex number

Published on 03 Apr 2026 - 5:12

337

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Complex Integration of DTFT

Published on 03 Apr 2026 - 5:14

161

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doubt in complex integration

Published on 12 Dec 2013 - 1:04

73

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question related with cauch'ys inequality

Published on 12 Dec 2013 - 4:22

829

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Problem about complex integration

Published on 13 Dec 2013 - 3:59

415

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$\int_{0}^{+\infty}\frac{\sin x}{x^{k}(1+x^{2})}dx \ $ via residue calculus

Published on 13 Dec 2013 - 18:16

208

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Integral of holomorphic function which tends to $0$

Published on 14 Dec 2013 - 7:36

2.6k

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To calculate residue of the function $f(z) = \frac{z^2 + \sin z}{\cos z - 1}$.

Published on 15 Dec 2013 - 11:04

1.7k

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Using argument principle to compute an integral

Published on 15 Dec 2013 - 13:57

525

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Double Integration Problem for Buffon's Needle experiment

Published on 02 Apr 2026 - 17:36

235

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Behavior of $f(z)=\int_0^1\mathrm{e}^{\alpha t^2}\sin(tz)\,dt$ when $\alpha <0$

Published on 23 Dec 2013 - 20:59

403

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Rate of change optimisation

Published on 29 Dec 2013 - 3:14

112

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Can I switch the order of integration and "Real(z)" operation?

Published on 27 Mar 2026 - 16:25

List Question

Find the residue of $\frac{e^{iz}}{(z^2+1)^5}$ at $z = i$ and evaluate $\int_0^{\infty} \cos x/(x^2+1)^5 dx$

Conditions for complex integrability

Integration containing a complex number

Complex Integration of DTFT

doubt in complex integration

question related with cauch'ys inequality

Problem about complex integration

$\int_{0}^{+\infty}\frac{\sin x}{x^{k}(1+x^{2})}dx \ $ via residue calculus

Integral of holomorphic function which tends to $0$

To calculate residue of the function $f(z) = \frac{z^2 + \sin z}{\cos z - 1}$.

Using argument principle to compute an integral

Double Integration Problem for Buffon's Needle experiment

Behavior of $f(z)=\int_0^1\mathrm{e}^{\alpha t^2}\sin(tz)\,dt$ when $\alpha <0$

Rate of change optimisation

Can I switch the order of integration and "Real(z)" operation?

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