Question

Evaluating $\int_0^{2} \frac{dx}{\sqrt[3]{2x^2-x^3}}$

score 112 · Answer 1 · 2014-12-18 18:04:26

112

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Evaluating $\int_0^{2} \frac{dx}{\sqrt[3]{2x^2-x^3}}$

Published on 18 Dec 2014 - 18:04

score 112 · Answer 2 · 2014-12-19 04:18:08

112

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Is this enough to demonstrate divergence of an improper integral?

Published on 19 Dec 2014 - 4:18

score 951 · Answer 3 · 2014-12-19 12:21:28

951

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$\int_0^{\infty} A( f(B(x)) ) + C(x) ) dx = \int_0^{\infty} f(x) dx$

Published on 19 Dec 2014 - 12:21

score 232 · Answer 4 · 2014-12-19 13:56:46

232

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Proving that $\int_0 ^1 \frac{\text{d}s}{\sqrt{1-s^2}}$ converges with no trig functions

Published on 19 Dec 2014 - 13:56

score 599 · Answer 5 · 2014-12-19 22:42:58

599

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How evaluate the following hard integrals?

Published on 19 Dec 2014 - 22:42

score 77 · Answer 6 · 2014-12-20 11:49:51

77

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Why $ \int_0^{\infty} du \, \frac{e^{-3 u} - e^{-4 u}}{u} = \int_0^{\infty} du \, \int_3^4 dt \, e^{-u t} \\ $?

Published on 20 Dec 2014 - 11:49

score 805 · Answer 7 · 2026-03-30 01:48:04

805

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Closed form of $\int_0^1\int_0^1\int_0^1\frac{\left(1-x^y\right)\left(1-x^z\right)\ln x}{(1-x)^3}\,\mathrm dx\;\mathrm dy\;\mathrm dz$

Published on 30 Mar 2026 - 1:48

score 545 · Answer 8 · 2026-03-30 01:50:11

545

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Finding $ \int_0^1 \frac {\ln x}{1+x^2}\mathrm dx $

Published on 30 Mar 2026 - 1:50

score 118 · Answer 9 · 2026-04-04 13:41:03

118

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An integral with density function of $N(\hat{a}, \frac{1}{s})$

Published on 04 Apr 2026 - 13:41

score 343 · Answer 10 · 2026-03-25 16:06:40

343

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About fractional iterations and improper integrals

Published on 25 Mar 2026 - 16:06

score 301 · Answer 11 · 2026-03-30 01:47:54

301

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The sequence of improper integrals of the form $\int\frac{dx}{1+x^{2n}}$

Published on 30 Mar 2026 - 1:47

score 141 · Answer 12 · 2014-12-21 15:38:01

141

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Evaluate Integral $\int_0^\infty\frac{\sin^4x}{x^4}$

Published on 21 Dec 2014 - 15:38

score 91 · Answer 13 · 2014-12-22 09:27:07

91

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Discussing the convergence of $\int_I\frac{x+2}{\sqrt x\left(x^2+x+1\right)^4}\,\mathrm dx$

Published on 22 Dec 2014 - 9:27

score 228 · Answer 14 · 2014-12-22 12:38:28

228

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How to check if functions are integrable?

Published on 22 Dec 2014 - 12:38

score 123 · Answer 15 · 2026-03-29 07:29:01

123

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Evaluation of $\int_{-\infty}^{\infty}\operatorname{e}^{-\mu x^2}f(\nu x)\operatorname{d\!}x$ for $\mu>0$

Published on 29 Mar 2026 - 7:29

List Question

Evaluating $\int_0^{2} \frac{dx}{\sqrt[3]{2x^2-x^3}}$

Is this enough to demonstrate divergence of an improper integral?

$\int_0^{\infty} A( f(B(x)) ) + C(x) ) dx = \int_0^{\infty} f(x) dx$

Proving that $\int_0 ^1 \frac{\text{d}s}{\sqrt{1-s^2}}$ converges with no trig functions

How evaluate the following hard integrals?

Why $ \int_0^{\infty} du \, \frac{e^{-3 u} - e^{-4 u}}{u} = \int_0^{\infty} du \, \int_3^4 dt \, e^{-u t} \\ $?

Closed form of $\int_0^1\int_0^1\int_0^1\frac{\left(1-x^y\right)\left(1-x^z\right)\ln x}{(1-x)^3}\,\mathrm dx\;\mathrm dy\;\mathrm dz$

Finding $ \int_0^1 \frac {\ln x}{1+x^2}\mathrm dx $

An integral with density function of $N(\hat{a}, \frac{1}{s})$

About fractional iterations and improper integrals

The sequence of improper integrals of the form $\int\frac{dx}{1+x^{2n}}$

Evaluate Integral $\int_0^\infty\frac{\sin^4x}{x^4}$

Discussing the convergence of $\int_I\frac{x+2}{\sqrt x\left(x^2+x+1\right)^4}\,\mathrm dx$

How to check if functions are integrable?

Evaluation of $\int_{-\infty}^{\infty}\operatorname{e}^{-\mu x^2}f(\nu x)\operatorname{d\!}x$ for $\mu>0$

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