Question

Examine convergence of improper integral

score 239 · Answer 1 · 2026-04-10 06:51:30

239

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Examine convergence of improper integral

Published on 10 Apr 2026 - 6:51

score 35 · Answer 2 · 2026-04-16 20:11:13

35

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To check whether improper integral converges or not $\int_{-1}^1 \frac{(x-1)}{x^{5/3}}dx$

Published on 16 Apr 2026 - 20:11

score 111 · Answer 3 · 2026-04-15 17:36:08

111

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Show $\int_{0}^{1} \frac{\ln x}{1-x}dx$=$\sum_{1}^{\infty}\frac{1}{n^2}$ and converges

Published on 15 Apr 2026 - 17:36

score 250 · Answer 4 · 2026-04-17 01:15:46

250

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Convergence of the integral $\int_0^1 \frac {1}{x\sqrt {1+x^\beta}}dx$

Published on 17 Apr 2026 - 1:15

score 135 · Answer 5 · 2026-04-17 08:53:11

135

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Calculating $\int_0^{\infty} \frac{\log^2(1 - e^{-x})\:x^5}{e^x - 1} \: dx $

Published on 17 Apr 2026 - 8:53

score 56 · Answer 6 · 2026-04-15 19:28:28

56

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How do I compute the improper integral $\int_0^{1/e}\frac{dx}{x(\log x)^{2}}$

Published on 15 Apr 2026 - 19:28

score 167 · Answer 7 · 2026-04-16 18:13:05

167

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To compute improper integral $\int_3^{5}\frac{x^{2}\, dx}{\sqrt{x-3}{\sqrt{5-x}}}$

Published on 16 Apr 2026 - 18:13

score 119 · Answer 8 · 2026-04-09 18:20:48

119

Views

integration involving Hermit function

Published on 09 Apr 2026 - 18:20

score 86 · Answer 9 · 2026-04-12 02:49:11

86

Views

Closed form for $\int_0^\infty \frac{\sin (x^2+ax)}{x}\, {\rm d}x$

Published on 12 Apr 2026 - 2:49

score 237 · Answer 10 · 2026-04-17 00:11:11

237

Views

Integrating $ \frac{{ \int_{0}^{\infty} e^{-x^2}\, dx}}{{\int_{0}^{\infty} e^{-x^2} \cos (2x) \, dx}}$

Published on 17 Apr 2026 - 0:11

score 152 · Answer 11 · 2026-04-16 11:59:04

152

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$\int_{0}^{\infty} \text{e}^{c z x} \frac{y}{\sqrt{2 \pi}} \text{e}^{- \frac{y^2}{2x} } x^{- \frac{3}{2}} \, \text{d}x = \text{e}^{y\sqrt{2cz}} $

Published on 16 Apr 2026 - 11:59

score 214 · Answer 12 · 2026-04-16 14:50:12

214

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Convergence of improper integral $\int_{0}^{\frac{\pi}{6}}\dfrac{x}{\sqrt{1-2\sin x}}dx$

Published on 16 Apr 2026 - 14:50

score 1.6k · Answer 13 · 2026-04-09 00:51:35

1.6k

Views

Intuition behind an integral identity

Published on 09 Apr 2026 - 0:51

score 1.3k · Answer 14 · 2026-04-17 18:40:42

1.3k

Views

For what $p$ is $\frac{1}{(x(1+\ln(x)^2))^p}$ Lebesgue integrable?

Published on 17 Apr 2026 - 18:40

score 122 · Answer 15 · 2026-04-16 05:07:58

122

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How do I evaluate this improper integral $\int_{-1}^{1}\frac{dx}{(2-x)\sqrt{1-x^{2}}}$

Published on 16 Apr 2026 - 5:07

List Question

Examine convergence of improper integral

To check whether improper integral converges or not $\int_{-1}^1 \frac{(x-1)}{x^{5/3}}dx$

Show $\int_{0}^{1} \frac{\ln x}{1-x}dx$=$\sum_{1}^{\infty}\frac{1}{n^2}$ and converges

Convergence of the integral $\int_0^1 \frac {1}{x\sqrt {1+x^\beta}}dx$

Calculating $\int_0^{\infty} \frac{\log^2(1 - e^{-x})\:x^5}{e^x - 1} \: dx $

How do I compute the improper integral $\int_0^{1/e}\frac{dx}{x(\log x)^{2}}$

To compute improper integral $\int_3^{5}\frac{x^{2}\, dx}{\sqrt{x-3}{\sqrt{5-x}}}$

integration involving Hermit function

Closed form for $\int_0^\infty \frac{\sin (x^2+ax)}{x}\, {\rm d}x$

Integrating $ \frac{{ \int_{0}^{\infty} e^{-x^2}\, dx}}{{\int_{0}^{\infty} e^{-x^2} \cos (2x) \, dx}}$

$\int_{0}^{\infty} \text{e}^{c z x} \frac{y}{\sqrt{2 \pi}} \text{e}^{- \frac{y^2}{2x} } x^{- \frac{3}{2}} \, \text{d}x = \text{e}^{y\sqrt{2cz}} $

Convergence of improper integral $\int_{0}^{\frac{\pi}{6}}\dfrac{x}{\sqrt{1-2\sin x}}dx$

Intuition behind an integral identity

For what $p$ is $\frac{1}{(x(1+\ln(x)^2))^p}$ Lebesgue integrable?

How do I evaluate this improper integral $\int_{-1}^{1}\frac{dx}{(2-x)\sqrt{1-x^{2}}}$

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