Question

Find a recursive formula for $J_n = \int_0^{\infty} x^{2n+1}e^{-x^2} \, \mathrm{d}x$

score 88 · Answer 1 · 2026-04-16 06:59:16

88

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Find a recursive formula for $J_n = \int_0^{\infty} x^{2n+1}e^{-x^2} \, \mathrm{d}x$

Published on 16 Apr 2026 - 6:59

score 90 · Answer 2 · 2026-04-11 00:15:05

90

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A question about improper integral form $-\infty$ to $\infty$

Published on 11 Apr 2026 - 0:15

score 164 · Answer 3 · 2026-04-15 07:37:14

164

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Check convergence of an improper Integral

Published on 15 Apr 2026 - 7:37

score 56 · Answer 4 · 2026-04-14 11:13:41

56

Views

For what $a$ does this integral converge?

Published on 14 Apr 2026 - 11:13

score 31 · Answer 5 · 2026-04-14 10:50:53

31

Views

This is my assumption about improper integral. Is this correct?

Published on 14 Apr 2026 - 10:50

score 144 · Answer 6 · 2026-04-15 21:23:51

144

Views

Convergence/Absolute Convergence for $\int_{0}^\infty{\sin^{n}\left(x\right)\over x}\,\mathrm{d}x $

Published on 15 Apr 2026 - 21:23

score 448 · Answer 7 · 2026-04-15 07:02:48

448

Views

Series Integral Test Proof

Published on 15 Apr 2026 - 7:02

score 3.8k · Answer 8 · 2026-04-16 14:49:39

3.8k

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Converge or Diverge $\int\limits_1^\infty \frac1{\sqrt{x^{3} +1}}dx$

Published on 16 Apr 2026 - 14:49

score 133 · Answer 9 · 2026-04-12 21:02:08

133

Views

Integral involving exponential function

Published on 12 Apr 2026 - 21:02

score 126 · Answer 10 · 2026-04-15 05:28:16

126

Views

Convergence of $\int_0^\infty f(x)\sin(x)\mathrm dx$

Published on 15 Apr 2026 - 5:28

score 153 · Answer 11 · 2026-04-15 05:50:20

153

Views

What is the improper integral of $\int_0^{\infty}\frac{x^{a-1}}{1+x} \,dx$?

Published on 15 Apr 2026 - 5:50

score 122 · Answer 12 · 2026-04-16 22:22:49

122

Views

Integrate $\int_{-\infty}^\infty {\rm erfc} \left( \frac{x}{\sqrt{2}} \right) e^{-\frac{(x-\mu)^2}{2 \sigma^2}} dx$

Published on 16 Apr 2026 - 22:22

score 164 · Answer 13 · 2026-04-08 17:00:59

164

Views

Analytic Solution to Integral

Published on 08 Apr 2026 - 17:00

score 66 · Answer 14 · 2026-04-16 04:16:21

66

Views

Evaluate this improper integral as a function of $t$

Published on 16 Apr 2026 - 4:16

score 64 · Answer 15 · 2026-04-16 01:23:20

64

Views

Integrate $\int_{-\infty}^{\infty} e^{-\frac{1}{2}(ax^2 + \beta x + \gamma)}N(\delta x + \epsilon)dx$

Published on 16 Apr 2026 - 1:23

List Question

Find a recursive formula for $J_n = \int_0^{\infty} x^{2n+1}e^{-x^2} \, \mathrm{d}x$

A question about improper integral form $-\infty$ to $\infty$

Check convergence of an improper Integral

For what $a$ does this integral converge?

This is my assumption about improper integral. Is this correct?

Convergence/Absolute Convergence for $\int_{0}^\infty{\sin^{n}\left(x\right)\over x}\,\mathrm{d}x $

Series Integral Test Proof

Converge or Diverge $\int\limits_1^\infty \frac1{\sqrt{x^{3} +1}}dx$

Integral involving exponential function

Convergence of $\int_0^\infty f(x)\sin(x)\mathrm dx$

What is the improper integral of $\int_0^{\infty}\frac{x^{a-1}}{1+x} \,dx$?

Integrate $\int_{-\infty}^\infty {\rm erfc} \left( \frac{x}{\sqrt{2}} \right) e^{-\frac{(x-\mu)^2}{2 \sigma^2}} dx$

Analytic Solution to Integral

Evaluate this improper integral as a function of $t$

Integrate $\int_{-\infty}^{\infty} e^{-\frac{1}{2}(ax^2 + \beta x + \gamma)}N(\delta x + \epsilon)dx$

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