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 64 · Answer 1 · 2026-05-10 17:02:29

64

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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 10 May 2026 - 17:02

score 185 · Answer 2 · 2026-04-11 10:06:07

185

Views

Switching improper integrals without Fubini

Published on 11 Apr 2026 - 10:06

score 127 · Answer 3 · 2026-04-09 23:58:59

127

Views

Intutition behind triple integrals between two surfaces

Published on 09 Apr 2026 - 23:58

score 106 · Answer 4 · 2026-04-09 20:02:05

106

Views

verifying way of determining a surface integral

Published on 09 Apr 2026 - 20:02

score 111 · Answer 5 · 2026-04-15 04:07:37

111

Views

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

Published on 15 Apr 2026 - 4:07

score 37 · Answer 6 · 2026-04-14 14:09:28

37

Views

determining content of a cross vault on a ceiling-verfication

Published on 14 Apr 2026 - 14:09

score 284 · Answer 7 · 2026-04-13 14:38:40

284

Views

Area of triangle using double integrals

Published on 13 Apr 2026 - 14:38

score 40 · Answer 8 · 2026-04-15 14:19:42

40

Views

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

Published on 15 Apr 2026 - 14:19

score 150 · Answer 9 · 2026-05-11 02:00:02

150

Views

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

Published on 11 May 2026 - 2:00

score 127 · Answer 10 · 2026-04-11 13:17:38

127

Views

Integral of multivariable function

Published on 11 Apr 2026 - 13:17

score 815 · Answer 11 · 2026-04-16 01:18:03

815

Views

Area of part of the surface of a sphere

Published on 16 Apr 2026 - 1:18

score 88 · Answer 12 · 2026-04-12 19:24:55

88

Views

Calculating integral over manifold given by equations

Published on 12 Apr 2026 - 19:24

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 59 · Answer 14 · 2026-04-17 04:31:19

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 90 · Answer 15 · 2026-04-17 03:48:53

90

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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 17 Apr 2026 - 3:48

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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