Question

Solution to the exponential integral $\int_{0}^{\infty}\exp\bigl(-pR-\frac{ER^{-f}}{B}\bigr)dR$

score 88 · Answer 1 · 2014-12-23 06:18:38

88

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Solution to the exponential integral $\int_{0}^{\infty}\exp\bigl(-pR-\frac{ER^{-f}}{B}\bigr)dR$

Published on 23 Dec 2014 - 6:18

score 363 · Answer 2 · 2014-12-23 08:52:20

363

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How do I evaluate the following integral $\int_{-\infty}^{\infty} e^{-\sigma^2 x^2/2}\; \mathrm dx$?

Published on 23 Dec 2014 - 8:52

score 401 · Answer 3 · 2026-03-25 09:37:09

401

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Limits for each part of the improper integral, why?

Published on 25 Mar 2026 - 9:37

score 497 · Answer 4 · 2026-04-04 06:10:28

497

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How many poles have to be inside the contour?

Published on 04 Apr 2026 - 6:10

score 2.9k · Answer 5 · 2026-04-04 06:09:23

2.9k

Views

Contour integration when pole is outside the contour

Published on 04 Apr 2026 - 6:09

score 380 · Answer 6 · 2026-03-26 04:35:05

380

Views

How to calculate $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}h_n}{n^3}$ where $h_n=\sum_{k=1}^{n}\frac{1}{2k-1}$?

Published on 26 Mar 2026 - 4:35

score 3.2k · Answer 7 · 2014-12-25 11:41:55

3.2k

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What are other methods to evaluate $\int_0^1 \sqrt{-\ln x} \ \mathrm dx$

Published on 25 Dec 2014 - 11:41

score 129 · Answer 8 · 2014-12-25 20:06:22

129

Views

If $\lim_{x\to\infty}\int_0^x a(t)\,dt=L$, is it true that $\lim_{x\to\infty}a(x)=0?$

Published on 25 Dec 2014 - 20:06

score 68 · Answer 9 · 2026-03-29 15:16:41

68

Views

Finding the residue of the improper integral $\frac{1}{z^4+4}$

Published on 29 Mar 2026 - 15:16

score 276 · Answer 10 · 2014-12-28 18:23:40

276

Views

How to calculate the two integrals?

Published on 28 Dec 2014 - 18:23

score 435 · Answer 11 · 2026-03-30 03:38:05

435

Views

Evaluating $\int_0^\infty \sqrt{\frac{x}{e^x-1}}dx$ in terms of special functions

Published on 30 Mar 2026 - 3:38

score 363 · Answer 12 · 2014-12-29 13:52:26

363

Views

Improper integral with two infinite bounds

Published on 29 Dec 2014 - 13:52

score 77 · Answer 13 · 2026-03-25 11:13:40

77

Views

Cauchy P.V. Of an improper inegral

Published on 25 Mar 2026 - 11:13

score 154 · Answer 14 · 2014-12-30 13:56:43

154

Views

Show that all derivatives of $f(x) = \frac{\sin(2\pi x)}{\pi x}$ belong to $L^2(\mathbb{R})$

Published on 30 Dec 2014 - 13:56

score 396 · Answer 15 · 2026-04-04 09:37:56

396

Views

Evaluating$ \int_{-\infty}^{\infty} \frac{x^6}{(4+x^4)^2} dx $using residues

Published on 04 Apr 2026 - 9:37

List Question

Solution to the exponential integral $\int_{0}^{\infty}\exp\bigl(-pR-\frac{ER^{-f}}{B}\bigr)dR$

How do I evaluate the following integral $\int_{-\infty}^{\infty} e^{-\sigma^2 x^2/2}\; \mathrm dx$?

Limits for each part of the improper integral, why?

How many poles have to be inside the contour?

Contour integration when pole is outside the contour

How to calculate $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}h_n}{n^3}$ where $h_n=\sum_{k=1}^{n}\frac{1}{2k-1}$?

What are other methods to evaluate $\int_0^1 \sqrt{-\ln x} \ \mathrm dx$

If $\lim_{x\to\infty}\int_0^x a(t)\,dt=L$, is it true that $\lim_{x\to\infty}a(x)=0?$

Finding the residue of the improper integral $\frac{1}{z^4+4}$

How to calculate the two integrals?

Evaluating $\int_0^\infty \sqrt{\frac{x}{e^x-1}}dx$ in terms of special functions

Improper integral with two infinite bounds

Cauchy P.V. Of an improper inegral

Show that all derivatives of $f(x) = \frac{\sin(2\pi x)}{\pi x}$ belong to $L^2(\mathbb{R})$

Evaluating$ \int_{-\infty}^{\infty} \frac{x^6}{(4+x^4)^2} dx $using residues

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