Question

How to calculate this complementary Bessel function?

score 297 · Answer 1 · 2026-04-11 10:02:01

297

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How to calculate this complementary Bessel function?

Published on 11 Apr 2026 - 10:02

score 2.2k · Answer 2 · 2026-03-27 01:54:20

2.2k

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To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$

Published on 27 Mar 2026 - 1:54

score 104 · Answer 3 · 2026-04-12 12:40:34

104

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Is my reasoning correct about the convergence of this integral?

Published on 12 Apr 2026 - 12:40

score 167 · Answer 4 · 2026-04-16 16:52:48

167

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Integral of function with a pretty long name

Published on 16 Apr 2026 - 16:52

score 3.1k · Answer 5 · 2026-04-15 19:13:21

3.1k

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contour integration of a function with two branch points: $\int^{\infty}_0 \frac{\log(1+x)}{x^p(1+x)}\, dx \,\,\, 0<\Re(p)<1$

Published on 15 Apr 2026 - 19:13

score 209 · Answer 6 · 2026-04-16 05:30:30

209

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Prove: $\int_{-\infty}^{\infty} \frac{\tan^{-1}e^{-\pi x}}{\cosh\frac{3x\zeta(2)}{20}} dx = 10$

Published on 16 Apr 2026 - 5:30

score 4.8k · Answer 7 · 2026-04-17 11:26:50

4.8k

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How to prove $\int_{-\infty}^{+\infty} f(x)dx = \int_{-\infty}^{+\infty} f\left(x - \frac{1}{x}\right)dx?$

Published on 17 Apr 2026 - 11:26

score 77 · Answer 8 · 2026-04-11 21:16:01

77

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how to find this type of definite double integral?

Published on 11 Apr 2026 - 21:16

score 1.1k · Answer 9 · 2026-04-15 14:28:09

1.1k

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Does $\int\limits_0^\infty \cos(x^3 -x) \, \mathrm dx$ converge?

Published on 15 Apr 2026 - 14:28

score 912 · Answer 10 · 2026-04-12 11:37:06

912

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Does $\int_{-\infty}^{\infty} e^{-\sqrt{|x|}}\,\mathrm{d}x$ converge?

Published on 12 Apr 2026 - 11:37

score 116 · Answer 11 · 2026-04-15 09:54:12

116

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How to prove : $\int\limits_{1}^{+\infty} x.f(x)dx$ is convergent

Published on 15 Apr 2026 - 9:54

score 7.2k · Answer 12 · 2026-04-16 20:01:14

7.2k

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Evaluate the integral $\int_{0}^{+\infty}\frac{\arctan \pi x-\arctan x}{x}dx$

Published on 16 Apr 2026 - 20:01

score 1.2k · Answer 13 · 2026-04-09 17:54:03

1.2k

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Improper Multiple Integral

Published on 09 Apr 2026 - 17:54

score 98 · Answer 14 · 2026-04-16 11:12:12

98

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From $\int_{1}^{+\infty} f(x)dx$ is convegent , we can say $\lim_{x\to +\infty}f(x)=0$?

Published on 16 Apr 2026 - 11:12

score 1k · Answer 15 · 2026-04-08 19:46:15

1k

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How do I apply change of variables to improper integrals?

Published on 08 Apr 2026 - 19:46

List Question

How to calculate this complementary Bessel function?

To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$

Is my reasoning correct about the convergence of this integral?

Integral of function with a pretty long name

contour integration of a function with two branch points: $\int^{\infty}_0 \frac{\log(1+x)}{x^p(1+x)}\, dx \,\,\, 0<\Re(p)<1$

Prove: $\int_{-\infty}^{\infty} \frac{\tan^{-1}e^{-\pi x}}{\cosh\frac{3x\zeta(2)}{20}} dx = 10$

How to prove $\int_{-\infty}^{+\infty} f(x)dx = \int_{-\infty}^{+\infty} f\left(x - \frac{1}{x}\right)dx?$

how to find this type of definite double integral?

Does $\int\limits_0^\infty \cos(x^3 -x) \, \mathrm dx$ converge?

Does $\int_{-\infty}^{\infty} e^{-\sqrt{|x|}}\,\mathrm{d}x$ converge?

How to prove : $\int\limits_{1}^{+\infty} x.f(x)dx$ is convergent

Evaluate the integral $\int_{0}^{+\infty}\frac{\arctan \pi x-\arctan x}{x}dx$

Improper Multiple Integral

From $\int_{1}^{+\infty} f(x)dx$ is convegent , we can say $\lim_{x\to +\infty}f(x)=0$?

How do I apply change of variables to improper integrals?

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