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Rigorous multivariate differentiation of integral with moving boundaries (Leibniz rule)

score 355 · Answer 1 · 2026-04-12 12:02:14

355

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Rigorous multivariate differentiation of integral with moving boundaries (Leibniz rule)

Published on 12 Apr 2026 - 12:02

score 2.1k · Answer 2 · 2026-04-17 07:53:05

2.1k

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Show that $1=\int\int\int x^{l-1}y^{m-1}z^{n-1}(1-x-y-z)^{p-1}dxdydz; l,m,n,p\ge 1$

Published on 17 Apr 2026 - 7:53

score 58 · Answer 3 · 2026-04-10 05:53:22

58

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Triple integral using spherical coordinates ($\theta$ variation)

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score 144 · Answer 4 · 2026-04-14 03:19:05

144

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Why does this double integral give me different answers when evaluated in different ways?

Published on 14 Apr 2026 - 3:19

score 34 · Answer 5 · 2026-04-14 14:25:16

34

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Evaluation of the given integral for the given surface

Published on 14 Apr 2026 - 14:25

score 3.8k · Answer 6 · 2026-04-14 19:04:01

3.8k

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Published on 14 Apr 2026 - 19:04

score 222 · Answer 7 · 2026-04-16 01:01:49

222

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Published on 16 Apr 2026 - 1:01

score 55 · Answer 8 · 2026-04-13 15:00:06

55

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compute $\lim\limits_{n\to \infty}\sum_{i=1}^{n}\sum_{j=1}^{n}\frac{n}{(n+i)(n^2+j^2)}$

Published on 13 Apr 2026 - 15:00

score 23 · Answer 9 · 2026-04-14 16:07:58

23

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In multiple definite integrals, if the region is the same in all of them, does the order of the differentials matter?

Published on 14 Apr 2026 - 16:07

score 367 · Answer 10 · 2026-04-09 00:35:58

367

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How does double Riemann sum actually work?

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score 1.3k · Answer 11 · 2026-04-15 10:17:46

1.3k

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Surface area of intersection of two spheres

Published on 15 Apr 2026 - 10:17

score 737 · Answer 12 · 2026-04-14 03:57:17

737

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Find the volume under the surface $z = x^2 + y^2$

Published on 14 Apr 2026 - 3:57

score 25 · Answer 13 · 2026-04-12 07:31:10

25

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Notation for partial differential in evaluation of iterative integrals

Published on 12 Apr 2026 - 7:31

score 254 · Answer 14 · 2026-03-25 04:54:34

254

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Triple Integrals in Spherical Coordinates, problem with boundaries

Published on 25 Mar 2026 - 4:54

score 57 · Answer 15 · 2026-04-11 19:29:07

57

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Finding surface of the set in $\mathbb{R}^3$

Published on 11 Apr 2026 - 19:29

List Question

Rigorous multivariate differentiation of integral with moving boundaries (Leibniz rule)

Show that $1=\int\int\int x^{l-1}y^{m-1}z^{n-1}(1-x-y-z)^{p-1}dxdydz; l,m,n,p\ge 1$

Triple integral using spherical coordinates ($\theta$ variation)

Why does this double integral give me different answers when evaluated in different ways?

Evaluation of the given integral for the given surface

Find the volume of the region bounded by the coordinate planes and a cylinder

Differential geometry - Calculating length of a curve

compute $\lim\limits_{n\to \infty}\sum_{i=1}^{n}\sum_{j=1}^{n}\frac{n}{(n+i)(n^2+j^2)}$

In multiple definite integrals, if the region is the same in all of them, does the order of the differentials matter?

How does double Riemann sum actually work?

Surface area of intersection of two spheres

Find the volume under the surface $z = x^2 + y^2$

Notation for partial differential in evaluation of iterative integrals

Triple Integrals in Spherical Coordinates, problem with boundaries

Finding surface of the set in $\mathbb{R}^3$

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