Question

Solving an improper integral contour integral, calculated via Wolfram but in need of analytic derivation possibly

score 88 · Answer 1 · 2026-04-06 16:18:38

88

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Solving an improper integral contour integral, calculated via Wolfram but in need of analytic derivation possibly

Published on 06 Apr 2026 - 16:18

score 183 · Answer 2 · 2026-04-08 00:43:01

183

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Finding a specific improper integral on a solution path to a 2 dimensional system of ODEs

Published on 08 Apr 2026 - 0:43

score 101 · Answer 3 · 2016-07-10 13:00:21

101

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Interchanging a limit and an integral

Published on 10 Jul 2016 - 13:00

score 41 · Answer 4 · 2016-07-11 11:25:25

41

Views

Convergence of $\int_1^\infty\int_1^\infty(x+y)^{-a}dxdy$

Published on 11 Jul 2016 - 11:25

score 706 · Answer 5 · 2026-03-28 16:14:34

706

Views

Closed-form Solution for series involving incomplete Gamma Function

Published on 28 Mar 2026 - 16:14

score 99 · Answer 6 · 2016-07-12 21:35:20

99

Views

Proving that $\int_{1}^{\infty} \frac{\sin^{2}(3x)}{x} dx$ diverges

Published on 12 Jul 2016 - 21:35

score 52 · Answer 7 · 2016-07-13 09:18:48

Prove that $\int_{1}^{\infty} \cos(x)\cdot \frac{\sqrt{\ln(x)}\cdot x}{(x^2 + \sqrt[3]{\ln(x)})\cdot (x+5)}\,dx$ converges absolutely.

score 146 · Answer 8 · 2026-03-25 15:43:40

146

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Integrate $I=\int_0^{\pi} \left(\cos(\theta)\right)^n \cos(p\theta) d\theta$

Published on 25 Mar 2026 - 15:43

score 136 · Answer 9 · 2016-07-13 12:25:39

136

Views

convergence of improper Integral..

Published on 13 Jul 2016 - 12:25

score 507 · Answer 10 · 2016-07-13 12:39:43

507

Views

Improper Integral Exists Since a Limit Exists

Published on 13 Jul 2016 - 12:39

score 66 · Answer 11 · 2016-07-13 16:34:38

66

Views

Can you prove the convergence of $ \int_0^{1/2}\frac{\sin x}{x}\frac{1}{\log\frac{1}{x}}\bigg(1+\frac{1}{N}\log\frac{1}{x}\bigg)^N\,dx $?

Published on 13 Jul 2016 - 16:34

score 338 · Answer 12 · 2016-07-13 18:14:33

338

Views

Gauss-Laguerre quadrature

Published on 13 Jul 2016 - 18:14

score 418 · Answer 13 · 2026-03-29 11:00:46

418

Views

Integral of Product of modified Bessel function, exponential functions and power function

Published on 29 Mar 2026 - 11:00

score 49 · Answer 14 · 2016-07-14 15:16:47

49

Views

Investigate convergence with cos/sin

Published on 14 Jul 2016 - 15:16

score 123 · Answer 15 · 2016-07-14 21:35:47

123

Views

For $\alpha>0$, $\int_{0}^{+\infty}\frac{t-\sin{t}}{t^\alpha}\,dt$ converges iff $\alpha\in (2,4)$

Published on 14 Jul 2016 - 21:35

List Question

Solving an improper integral contour integral, calculated via Wolfram but in need of analytic derivation possibly

Finding a specific improper integral on a solution path to a 2 dimensional system of ODEs

Interchanging a limit and an integral

Convergence of $\int_1^\infty\int_1^\infty(x+y)^{-a}dxdy$

Closed-form Solution for series involving incomplete Gamma Function

Proving that $\int_{1}^{\infty} \frac{\sin^{2}(3x)}{x} dx$ diverges

Prove that $\int_{1}^{\infty} \cos(x)\cdot \frac{\sqrt{\ln(x)}\cdot x}{(x^2 + \sqrt[3]{\ln(x)})\cdot (x+5)}\,dx$ converges absolutely.

Integrate $I=\int_0^{\pi} \left(\cos(\theta)\right)^n \cos(p\theta) d\theta$

convergence of improper Integral..

Improper Integral Exists Since a Limit Exists

Can you prove the convergence of $ \int_0^{1/2}\frac{\sin x}{x}\frac{1}{\log\frac{1}{x}}\bigg(1+\frac{1}{N}\log\frac{1}{x}\bigg)^N\,dx $?

Gauss-Laguerre quadrature

Integral of Product of modified Bessel function, exponential functions and power function

Investigate convergence with cos/sin

For $\alpha>0$, $\int_{0}^{+\infty}\frac{t-\sin{t}}{t^\alpha}\,dt$ converges iff $\alpha\in (2,4)$

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