Question

How to prove that the integral $\int_{\mathbb{R}^N}{\frac{\mathrm{d}\xi}{\left(1+||\xi||\right)^s}}$ converges?

score 36 · Answer 1 · 2026-04-15 00:20:36

36

Views

How to prove that the integral $\int_{\mathbb{R}^N}{\frac{\mathrm{d}\xi}{\left(1+||\xi||\right)^s}}$ converges?

Published on 15 Apr 2026 - 0:20

score 126 · Answer 2 · 2026-04-11 14:09:38

126

Views

Two strange integrals

Published on 11 Apr 2026 - 14:09

score 121 · Answer 3 · 2026-04-16 03:16:21

121

Views

How to find the indefinite integral of $\arctan((x^2+1)^{1/3})$?

Published on 16 Apr 2026 - 3:16

score 151 · Answer 4 · 2026-04-09 14:48:12

151

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What is an indefinite integral?

Published on 09 Apr 2026 - 14:48

score 96 · Answer 5 · 2026-04-16 10:30:06

96

Views

Evaluating $\int_0^z(z-x)^{2m-1}x^{2m-1}e^{-\frac{m}{\Omega}x^2}\times K_0(\frac{2(z-x)}{\alpha}\frac{m}{\Omega}){\rm d}x$

Published on 16 Apr 2026 - 10:30

score 37 · Answer 6 · 2026-04-12 23:52:10

37

Views

What is $g$ for which this is true!

Published on 12 Apr 2026 - 23:52

score 81 · Answer 7 · 2026-04-16 17:02:59

81

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Calculate the integral $\int \sqrt{1+\left(\frac{1}{\log (x)}-\frac{1}{\log ^2(x)}\right)^2} \, dx$

Published on 16 Apr 2026 - 17:02

score 336 · Answer 8 · 2026-04-15 12:47:45

336

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Does $\int_0^{2\pi} \sqrt{(1-a\cos x)^2 + b} \mathrm{d}x$ evaluate in terms of elliptic integrals?

Published on 15 Apr 2026 - 12:47

score 188 · Answer 9 · 2026-04-12 07:00:00

188

Views

Multidimensional Gaussian Integral?

Published on 12 Apr 2026 - 7:00

score 642 · Answer 10 · 2026-04-15 03:42:45

642

Views

Reduction formula for $\int \frac { x ^ n } { \sqrt { 1 - x ^ 2 } } \ \mathrm d x $

Published on 15 Apr 2026 - 3:42

score 690 · Answer 11 · 2026-04-17 06:05:30

690

Views

Attempt at solving $\frac{dy}{dx} = x^2 + y^2$

Published on 17 Apr 2026 - 6:05

score 93 · Answer 12 · 2026-04-16 23:26:20

93

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$f:[-1,1]\to\Bbb{R}$ be continuous and $\int_{-1}^{1}f(t)dt=1$ then find $\displaystyle \lim_{n\to \infty} \int f(t) \cos^2nt \mathrm{d}t$.[NBHM2008]

Published on 16 Apr 2026 - 23:26

score 174 · Answer 13 · 2026-04-14 04:35:28

174

Views

integral of $\sin(\sqrt(ax^4+bx^3+cx^2+dx+e))$

Published on 14 Apr 2026 - 4:35

score 197 · Answer 14 · 2026-04-10 19:13:27

197

Views

Is there a method to approximate indefinite integrals?

Published on 10 Apr 2026 - 19:13

score 115 · Answer 15 · 2026-04-12 21:03:23

115

Views

Integration by parts? Or does not

Published on 12 Apr 2026 - 21:03

List Question

How to prove that the integral $\int_{\mathbb{R}^N}{\frac{\mathrm{d}\xi}{\left(1+||\xi||\right)^s}}$ converges?

Two strange integrals

How to find the indefinite integral of $\arctan((x^2+1)^{1/3})$?

What is an indefinite integral?

Evaluating $\int_0^z(z-x)^{2m-1}x^{2m-1}e^{-\frac{m}{\Omega}x^2}\times K_0(\frac{2(z-x)}{\alpha}\frac{m}{\Omega}){\rm d}x$

What is $g$ for which this is true!

Calculate the integral $\int \sqrt{1+\left(\frac{1}{\log (x)}-\frac{1}{\log ^2(x)}\right)^2} \, dx$

Does $\int_0^{2\pi} \sqrt{(1-a\cos x)^2 + b} \mathrm{d}x$ evaluate in terms of elliptic integrals?

Multidimensional Gaussian Integral?

Reduction formula for $\int \frac { x ^ n } { \sqrt { 1 - x ^ 2 } } \ \mathrm d x $

Attempt at solving $\frac{dy}{dx} = x^2 + y^2$

$f:[-1,1]\to\Bbb{R}$ be continuous and $\int_{-1}^{1}f(t)dt=1$ then find $\displaystyle \lim_{n\to \infty} \int f(t) \cos^2nt \mathrm{d}t$.[NBHM2008]

integral of $\sin(\sqrt(ax^4+bx^3+cx^2+dx+e))$

Is there a method to approximate indefinite integrals?

Integration by parts? Or does not

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