Question

Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

score 164 · Answer 1 · 2026-05-10 19:03:50

164

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Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Published on 10 May 2026 - 19:03

score 93 · Answer 2 · 2026-05-11 02:45:28

93

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Order of Integration in Divergent Integrals

Published on 11 May 2026 - 2:45

score 214 · Answer 3 · 2026-05-11 08:42:04

214

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Any other textbook with the same perspective of Riemann-Stieltjes integrals as in Chap. 6 of Baby Rudin?

Published on 11 May 2026 - 8:42

score 232 · Answer 4 · 2026-04-17 01:25:13

232

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Proving $\int_0^\infty\frac{e^x-1}{x(e^x+1)^2}dx=6\ln A-\frac12-\frac16\ln2-\frac12\ln\pi$

Published on 17 Apr 2026 - 1:25

score 1.7k · Answer 5 · 2026-04-15 13:41:13

1.7k

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Completing the square in a denominator

Published on 15 Apr 2026 - 13:41

score 75 · Answer 6 · 2026-05-10 20:54:27

75

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Rolling a Circle Down a Function

Published on 10 May 2026 - 20:54

score 37 · Answer 7 · 2026-05-06 01:19:40

37

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Trouble with L'Hôpital Justification for Complicated Limit of Integral

Published on 06 May 2026 - 1:19

score 171 · Answer 8 · 2026-04-17 04:55:16

171

Views

Verify that $\int_{0}^{\pi/2}\tan x\ln(\tan x)\ln(\cos x)\ln^3(\sin x)\mathrm dx=-\frac{3\zeta(6)}{2^8}$

Published on 17 Apr 2026 - 4:55

score 162 · Answer 9 · 2026-04-18 05:36:11

162

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Evaluation of $\int_0^T \int_0^t \tau^{-1/2} (T-\tau)^{-1/2} \exp(\frac{ix^2}{2(T-\tau)})d\tau dt$

Published on 18 Apr 2026 - 5:36

score 215 · Answer 10 · 2026-05-11 03:46:43

215

Views

Calculating volume of sphere using calculus

Published on 11 May 2026 - 3:46

score 69 · Answer 11 · 2026-04-16 15:15:16

69

Views

Proving $\operatorname{Si}(\pi)>\pi/2$ with the following hints and Taylor series

Published on 16 Apr 2026 - 15:15

score 40 · Answer 12 · 2026-04-12 07:46:29

40

Views

Using triple integration to find the volume of solids when having $z$ in terms of $r$

Published on 12 Apr 2026 - 7:46

score 78 · Answer 13 · 2026-04-15 03:17:02

78

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Finding roots using $\displaystyle\int_0^1(1+\cos^8x)(ax^2+bx+c)dx=\int_0^2(1+\cos^8x)(ax^2+bx+c)dx $

Published on 15 Apr 2026 - 3:17

score 3.3k · Answer 14 · 2026-05-10 13:46:07

3.3k

Views

Why is curl zero for a closed surface?

Published on 10 May 2026 - 13:46

score 186 · Answer 15 · 2026-05-10 13:48:01

186

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proving Stokes' theorem with the curl

Published on 10 May 2026 - 13:48

List Question

Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Order of Integration in Divergent Integrals

Any other textbook with the same perspective of Riemann-Stieltjes integrals as in Chap. 6 of Baby Rudin?

Proving $\int_0^\infty\frac{e^x-1}{x(e^x+1)^2}dx=6\ln A-\frac12-\frac16\ln2-\frac12\ln\pi$

Completing the square in a denominator

Rolling a Circle Down a Function

Trouble with L'Hôpital Justification for Complicated Limit of Integral

Verify that $\int_{0}^{\pi/2}\tan x\ln(\tan x)\ln(\cos x)\ln^3(\sin x)\mathrm dx=-\frac{3\zeta(6)}{2^8}$

Evaluation of $\int_0^T \int_0^t \tau^{-1/2} (T-\tau)^{-1/2} \exp(\frac{ix^2}{2(T-\tau)})d\tau dt$

Calculating volume of sphere using calculus

Proving $\operatorname{Si}(\pi)>\pi/2$ with the following hints and Taylor series

Using triple integration to find the volume of solids when having $z$ in terms of $r$

Finding roots using $\displaystyle\int_0^1(1+\cos^8x)(ax^2+bx+c)dx=\int_0^2(1+\cos^8x)(ax^2+bx+c)dx $

Why is curl zero for a closed surface?

proving Stokes' theorem with the curl

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