Question

Probability calculation from joint pdfs

score 32 · Answer 1 · 2026-04-12 05:13:37

32

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Probability calculation from joint pdfs

Published on 12 Apr 2026 - 5:13

score 345 · Answer 2 · 2026-04-15 18:35:41

345

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How to calculate the integral $\int_{0.5}^{1} \frac{1}{\sqrt{2x-x^2}}$?

Published on 15 Apr 2026 - 18:35

score 41 · Answer 3 · 2026-04-24 14:20:47

41

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Find an integrable function that is not integrable for sufficiently close functions

Published on 24 Apr 2026 - 14:20

score 572 · Answer 4 · 2026-05-11 02:59:17

572

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A definite integral on a circle with Bessel functions

Published on 11 May 2026 - 2:59

score 529 · Answer 5 · 2026-04-15 21:29:47

529

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Limit: $ \lim_{n \to \infty} \int_{(0,1)^n} \frac{n}{x_1 + \cdots + x_n} dx_1 \cdots dx_n $

Published on 15 Apr 2026 - 21:29

score 166 · Answer 6 · 2026-05-14 16:19:45

166

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Problem: To show that $\int_{0}^{\infty}\sqrt[3]{(e^x-1)^2}\cdot \frac{dx}{1-2\cosh x}=-\frac{4}{3}\pi\sin\left(\frac{2}{9}\pi\right)$

Published on 14 May 2026 - 16:19

score 259 · Answer 7 · 2026-04-09 05:56:27

259

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What went wrong in this u-substitution in integrating functions in terms of sine?

Published on 09 Apr 2026 - 5:56

score 217 · Answer 8 · 2026-05-10 14:04:34

217

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(Zeta function)Regularization of a divergent integral

Published on 10 May 2026 - 14:04

score 102 · Answer 9 · 2026-05-11 07:24:34

102

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Is there a way to simplify integrals of the form $\int_{-\infty}^\infty \frac{x \sin(kx)}{(x^2+b^2)^{3/2}}dx$?

Published on 11 May 2026 - 7:24

score 378 · Answer 10 · 2026-04-15 06:43:49

378

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Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $

Published on 15 Apr 2026 - 6:43

score 322 · Answer 11 · 2026-04-15 22:13:36

322

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Evaluating $\int_0^\infty \frac{\arctan x\operatorname{Li}_2( -x )}{x^2} \, dx$

Published on 15 Apr 2026 - 22:13

score 658 · Answer 12 · 2026-04-11 05:20:28

658

Views

Is f Riemann Integrable

Published on 11 Apr 2026 - 5:20

score 1.3k · Answer 13 · 2026-04-13 02:52:55

1.3k

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Minimize an integral vs Minimize the argument of a integral.

Published on 13 Apr 2026 - 2:52

score 4.8k · Answer 14 · 2026-05-11 07:23:05

4.8k

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Distribution of range of Uniform $(0,1)$ distribution

Published on 11 May 2026 - 7:23

score 129 · Answer 15 · 2026-04-09 07:22:49

129

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How to evaluate this integral using this definition?

Published on 09 Apr 2026 - 7:22

List Question

Probability calculation from joint pdfs

How to calculate the integral $\int_{0.5}^{1} \frac{1}{\sqrt{2x-x^2}}$?

Find an integrable function that is not integrable for sufficiently close functions

A definite integral on a circle with Bessel functions

Limit: $ \lim_{n \to \infty} \int_{(0,1)^n} \frac{n}{x_1 + \cdots + x_n} dx_1 \cdots dx_n $

Problem: To show that $\int_{0}^{\infty}\sqrt[3]{(e^x-1)^2}\cdot \frac{dx}{1-2\cosh x}=-\frac{4}{3}\pi\sin\left(\frac{2}{9}\pi\right)$

What went wrong in this u-substitution in integrating functions in terms of sine?

(Zeta function)Regularization of a divergent integral

Is there a way to simplify integrals of the form $\int_{-\infty}^\infty \frac{x \sin(kx)}{(x^2+b^2)^{3/2}}dx$?

Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $

Evaluating $\int_0^\infty \frac{\arctan x\operatorname{Li}_2( -x )}{x^2} \, dx$

Is f Riemann Integrable

Minimize an integral vs Minimize the argument of a integral.

Distribution of range of Uniform $(0,1)$ distribution

How to evaluate this integral using this definition?

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