Question

Integrate: $\int_{a - i\infty}^{a + i\infty} \frac{e^{tz}}{z^2 + p^2}dz$

score 245 · Answer 1 · 2013-05-17 10:38:37

245

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Integrate: $\int_{a - i\infty}^{a + i\infty} \frac{e^{tz}}{z^2 + p^2}dz$

Published on 17 May 2013 - 10:38

score 1.4k · Answer 2 · 2013-05-18 11:40:05

1.4k

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Integrating: $\int_0^\infty \frac{\sin (ax)}{e^x + 1}dx$

Published on 18 May 2013 - 11:40

score 4.5k · Answer 3 · 2013-05-19 08:20:49

4.5k

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Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$

Published on 19 May 2013 - 8:20

score 504 · Answer 4 · 2013-05-19 20:20:20

504

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Evaluating $\int_0^{\infty}e^{-\alpha x^2 \cos \beta} \cos(\alpha x^2 \sin \beta) dx$

Published on 19 May 2013 - 20:20

score 2.4k · Answer 5 · 2013-05-20 07:33:23

2.4k

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Integrate: $\int_0^1 \frac{1}{\sqrt[3]{x^2 - x^3}}dx$

Published on 20 May 2013 - 7:33

score 242 · Answer 6 · 2026-04-11 13:17:06

242

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score 164 · Answer 7 · 2026-04-11 07:32:17

164

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score 727 · Answer 8 · 2026-04-12 09:01:43

727

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score 1.2k · Answer 9 · 2026-04-11 11:32:13

1.2k

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score 517 · Answer 10 · 2013-05-29 11:55:40

517

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Integral with arctan and e: $\int_{0}^{\infty}\frac{\arctan(x^{3})}{e^{2\pi x}-1}\,\mathrm dx$

Published on 29 May 2013 - 11:55

score 900 · Answer 11 · 2013-05-30 13:31:28

900

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integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?

Published on 30 May 2013 - 13:31

score 7.1k · Answer 12 · 2026-03-26 22:14:50

7.1k

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Published on 26 Mar 2026 - 22:14

score 1.7k · Answer 13 · 2026-04-13 19:09:33

1.7k

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Integrating $\frac{z}{1-\cos(z)}$ over the unit circle

Published on 13 Apr 2026 - 19:09

score 285 · Answer 14 · 2026-04-13 21:29:19

285

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Prove $\frac{1}{2 \pi} \int_0^{2\pi} \frac{1 - r^2}{1 + r^2 - 2r \cos{t}} dt = 1$ using contour integration

Published on 13 Apr 2026 - 21:29

score 86 · Answer 15 · 2013-06-09 20:54:54

86

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Contour integral for $\int _0^\infty \frac{t^2+1}{t^4+1} dt$

Published on 09 Jun 2013 - 20:54

List Question

Integrate: $\int_{a - i\infty}^{a + i\infty} \frac{e^{tz}}{z^2 + p^2}dz$

Integrating: $\int_0^\infty \frac{\sin (ax)}{e^x + 1}dx$

Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$

Evaluating $\int_0^{\infty}e^{-\alpha x^2 \cos \beta} \cos(\alpha x^2 \sin \beta) dx$

Integrate: $\int_0^1 \frac{1}{\sqrt[3]{x^2 - x^3}}dx$

quick integration notation question

Simple conceptual Fundamental Thm of Calculus question

Generating Laguerre polynomials using gamma functions

Contour integral representation of Confluent Hypergeometric Function

Integral with arctan and e: $\int_{0}^{\infty}\frac{\arctan(x^{3})}{e^{2\pi x}-1}\,\mathrm dx$

integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?

Fourier transform of $\text{sinc}^3 {\pi t}$

Integrating $\frac{z}{1-\cos(z)}$ over the unit circle

Prove $\frac{1}{2 \pi} \int_0^{2\pi} \frac{1 - r^2}{1 + r^2 - 2r \cos{t}} dt = 1$ using contour integration

Contour integral for $\int _0^\infty \frac{t^2+1}{t^4+1} dt$

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