Question

Integral involving Bessel function, Struve Function and Exponential Function.

score 292 · Answer 1 · 2026-04-11 01:15:27

292

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Integral involving Bessel function, Struve Function and Exponential Function.

Published on 11 Apr 2026 - 1:15

score 44 · Answer 2 · 2026-04-16 11:39:25

44

Views

How to prove that $\int_{0}^{\infty}\delta_{m,g}^{-1}t^{m}\frac{w'(t)g(t)}{w(t)}dt=-m$

Published on 16 Apr 2026 - 11:39

score 52 · Answer 3 · 2026-04-09 03:23:36

52

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How do i find this $k$?

Published on 09 Apr 2026 - 3:23

score 108 · Answer 4 · 2026-04-14 08:41:02

108

Views

How would you integrate this $\int_{1}^{\infty}\dfrac {\{x\}\cos (ax)}{x^b}\mathrm {d}x$?

Published on 14 Apr 2026 - 8:41

score 343 · Answer 5 · 2026-04-15 16:07:35

343

Views

How to proceed with evaluating $\int_{-\infty}^{\infty}\frac{\sin^n(x)}{x^n}\mathrm{d}x$?

Published on 15 Apr 2026 - 16:07

score 1k · Answer 6 · 2026-04-15 13:57:12

1k

Views

Determine if $\int^\infty_0x\sin(x^3)dx$ is divergent, convergence or absolute convergence

Published on 15 Apr 2026 - 13:57

score 497 · Answer 7 · 2026-04-15 17:45:50

497

Views

How to evaluate this improper integral $\int_{0}^{\infty}\frac{1-x}{1-x^{n}}\,\mathrm dx$?

Published on 15 Apr 2026 - 17:45

score 68 · Answer 8 · 2026-04-16 17:12:08

68

Views

Determine whether $\int^{1/2}_0\frac{1}{\sin x\cdot \ln x}dx$ is convergence, absolute convergence or divergent.

Published on 16 Apr 2026 - 17:12

score 336 · Answer 9 · 2026-04-14 04:19:19

336

Views

How to show the following integral $\int_0^\frac{\pi}{2} \cot^{-1}{\sqrt{1+\csc{\theta}}}\,\mathrm d\theta =\frac{\pi^2}{12}$

Published on 14 Apr 2026 - 4:19

score 664 · Answer 10 · 2026-04-24 17:59:02

664

Views

A question on the definition of uniform convergence of an improper integral

Published on 24 Apr 2026 - 17:59

score 106 · Answer 11 · 2026-04-11 19:28:02

106

Views

Calculate improper integral

Published on 11 Apr 2026 - 19:28

score 517 · Answer 12 · 2026-04-15 19:31:52

517

Views

How may we show that $\int_{0}^{\infty}{{\cos\left({2x\over \pi}\right)-\cos^2\left({2x\over \pi}\right)}\over x^2}\cdot\ln(x)\,\mathrm dx=-\ln(2)?$

Published on 15 Apr 2026 - 19:31

score 129 · Answer 13 · 2026-04-16 02:12:14

129

Views

Monstrous integral $\int_{0}^{1}\frac{\arcsin{\sqrt{x}}}{x^4-2x^3+2x^2-x+1}dx$

Published on 16 Apr 2026 - 2:12

score 76 · Answer 14 · 2026-04-14 19:29:30

76

Views

Computing an improper integral

Published on 14 Apr 2026 - 19:29

score 144 · Answer 15 · 2026-04-15 17:56:04

144

Views

$f(x)$ continuous in $[0,\infty)$. Both $\int^\infty_0f^4(x)dx, \int^\infty_0|f(x)|dx$ converge. Prove that $\int^\infty_0f^2(x)dx$ converges

Published on 15 Apr 2026 - 17:56

List Question

Integral involving Bessel function, Struve Function and Exponential Function.

How to prove that $\int_{0}^{\infty}\delta_{m,g}^{-1}t^{m}\frac{w'(t)g(t)}{w(t)}dt=-m$

How do i find this $k$?

How would you integrate this $\int_{1}^{\infty}\dfrac {\{x\}\cos (ax)}{x^b}\mathrm {d}x$?

How to proceed with evaluating $\int_{-\infty}^{\infty}\frac{\sin^n(x)}{x^n}\mathrm{d}x$?

Determine if $\int^\infty_0x\sin(x^3)dx$ is divergent, convergence or absolute convergence

How to evaluate this improper integral $\int_{0}^{\infty}\frac{1-x}{1-x^{n}}\,\mathrm dx$?

Determine whether $\int^{1/2}_0\frac{1}{\sin x\cdot \ln x}dx$ is convergence, absolute convergence or divergent.

How to show the following integral $\int_0^\frac{\pi}{2} \cot^{-1}{\sqrt{1+\csc{\theta}}}\,\mathrm d\theta =\frac{\pi^2}{12}$

A question on the definition of uniform convergence of an improper integral

Calculate improper integral

How may we show that $\int_{0}^{\infty}{{\cos\left({2x\over \pi}\right)-\cos^2\left({2x\over \pi}\right)}\over x^2}\cdot\ln(x)\,\mathrm dx=-\ln(2)?$

Monstrous integral $\int_{0}^{1}\frac{\arcsin{\sqrt{x}}}{x^4-2x^3+2x^2-x+1}dx$

Computing an improper integral

$f(x)$ continuous in $[0,\infty)$. Both $\int^\infty_0f^4(x)dx, \int^\infty_0|f(x)|dx$ converge. Prove that $\int^\infty_0f^2(x)dx$ converges

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