Question

Simplify $\int_a^b \mathrm{d}x_1 ...\mathrm{d}x_m \int_c^d \mathrm{d}y_1 ...\mathrm{d}y_n \prod_{i=1}^m \prod_{j=1}^n f(x_i y_j)$

score 61 · Answer 1 · 2026-03-25 08:10:48

61

Views

Simplify $\int_a^b \mathrm{d}x_1 ...\mathrm{d}x_m \int_c^d \mathrm{d}y_1 ...\mathrm{d}y_n \prod_{i=1}^m \prod_{j=1}^n f(x_i y_j)$

Published on 25 Mar 2026 - 8:10

score 182 · Answer 2 · 2018-11-30 18:08:10

182

Views

Switching improper integrals without Fubini

Published on 30 Nov 2018 - 18:08

score 124 · Answer 3 · 2018-12-01 04:31:02

124

Views

Intutition behind triple integrals between two surfaces

Published on 01 Dec 2018 - 4:31

score 103 · Answer 4 · 2018-12-02 20:37:01

103

Views

verifying way of determining a surface integral

Published on 02 Dec 2018 - 20:37

score 108 · Answer 5 · 2018-12-03 12:45:14

108

Views

How to prove that $\text{area}( S_r(x) \cap B_R(0)) \leq \text{area}(S_R(0))$?

Published on 03 Dec 2018 - 12:45

score 34 · Answer 6 · 2018-12-03 20:58:00

34

Views

determining content of a cross vault on a ceiling-verfication

Published on 03 Dec 2018 - 20:58

score 281 · Answer 7 · 2018-12-04 16:16:49

281

Views

Area of triangle using double integrals

Published on 04 Dec 2018 - 16:16

score 37 · Answer 8 · 2018-12-05 14:31:27

37

Views

Triple integral over a cylindre or a sphere of the exp of the distance to a point

Published on 05 Dec 2018 - 14:31

score 146 · Answer 9 · 2018-12-12 11:17:14

146

Views

Where is my mistake? Calculating surface integral/Stoke's theorem

Published on 12 Dec 2018 - 11:17

score 124 · Answer 10 · 2018-12-12 16:17:41

124

Views

Integral of multivariable function

Published on 12 Dec 2018 - 16:17

score 812 · Answer 11 · 2018-12-14 13:39:01

812

Views

Area of part of the surface of a sphere

Published on 14 Dec 2018 - 13:39

score 85 · Answer 12 · 2018-12-14 20:10:35

85

Views

Calculating integral over manifold given by equations

Published on 14 Dec 2018 - 20:10

score 149 · Answer 13 · 2026-03-25 09:43:16

149

Views

How can we show that $I_{yy}=I_{zz}=I_{xx}$ and $I_{xy}=0$ using symmetry arguments?

Published on 25 Mar 2026 - 9:43

score 56 · Answer 14 · 2018-12-16 21:01:23

Does this integral converge? $\int \frac{d^2x}{(2\pi)^2} \frac{d^2y}{(2\pi)^2} [\dots] \exp [- \frac{1}{4\pi i}(x_1^2 - y_1^2)+(x_2^2- y_2^2)] $

score 88 · Answer 15 · 2018-12-19 09:28:44

88

Views

Evaluating $\int_{1/4}^1 \int_{\sqrt{x-x^2}}^{\sqrt x}\left(\frac{x^2-y^2}{x^2}\right)\,dy\,dx$

Published on 19 Dec 2018 - 9:28

List Question

Simplify $\int_a^b \mathrm{d}x_1 ...\mathrm{d}x_m \int_c^d \mathrm{d}y_1 ...\mathrm{d}y_n \prod_{i=1}^m \prod_{j=1}^n f(x_i y_j)$

Switching improper integrals without Fubini

Intutition behind triple integrals between two surfaces

verifying way of determining a surface integral

How to prove that $\text{area}( S_r(x) \cap B_R(0)) \leq \text{area}(S_R(0))$?

determining content of a cross vault on a ceiling-verfication

Area of triangle using double integrals

Triple integral over a cylindre or a sphere of the exp of the distance to a point

Where is my mistake? Calculating surface integral/Stoke's theorem

Integral of multivariable function

Area of part of the surface of a sphere

Calculating integral over manifold given by equations

How can we show that $I_{yy}=I_{zz}=I_{xx}$ and $I_{xy}=0$ using symmetry arguments?

Does this integral converge? $\int \frac{d^2x}{(2\pi)^2} \frac{d^2y}{(2\pi)^2} [\dots] \exp [- \frac{1}{4\pi i}(x_1^2 - y_1^2)+(x_2^2- y_2^2)] $

Evaluating $\int_{1/4}^1 \int_{\sqrt{x-x^2}}^{\sqrt x}\left(\frac{x^2-y^2}{x^2}\right)\,dy\,dx$

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