Question

Volume of the region bounded by $y=x^2$ and $y=x^3$ when it's rotated about the line $x=1$

score 105 · Answer 1 · 2023-12-07 18:27:41

105

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Volume of the region bounded by $y=x^2$ and $y=x^3$ when it's rotated about the line $x=1$

Published on 07 Dec 2023 - 18:27

score 251 · Answer 2 · 2023-12-08 00:31:07

251

Views

Calculating Volume of "fat sphere" defined by $x^8+y^8+z^8 = 64$

Published on 08 Dec 2023 - 0:31

score 78 · Answer 3 · 2026-03-27 00:59:58

78

Views

Problem 3-35(b) in "Calculus on Manifolds" by Michael Spivak. Please tell me how to complete (b) using the author's hint.

Published on 27 Mar 2026 - 0:59

score 25 · Answer 4 · 2026-03-27 18:07:10

25

Views

How to show that a projecting an n-dimensional simplex decrease its volume?

Published on 27 Mar 2026 - 18:07

score 183 · Answer 5 · 2026-04-03 03:38:09

183

Views

On average, how many uniformly random real numbers from $0$ to $1$ are required for the sum of their squares to exceed $1$?

Published on 03 Apr 2026 - 3:38

score 34 · Answer 6 · 2023-12-14 14:48:17

34

Views

Approaching the volume under a gaussian function using concentric cylinders

Published on 14 Dec 2023 - 14:48

score 14 · Answer 7 · 2026-03-02 13:41:01

14

Views

Looking for resources possibly books that have good exercises on Applications of Integration Volumes and Areas

Published on 02 Mar 2026 - 13:41

score 57 · Answer 8 · 2023-12-18 15:02:55

57

Views

getting two different values for same volume, both solutions seem logically apt, yet are algebraically different

Published on 18 Dec 2023 - 15:02

score 96 · Answer 9 · 2026-03-29 19:10:07

96

Views

n-dimensional volume of a hypersphere

Published on 29 Mar 2026 - 19:10

score 54 · Answer 10 · 2023-12-23 13:33:49

54

Views

Find the volume rotated around $x$-axis when the area intersect on $x$-axis.

Published on 23 Dec 2023 - 13:33

score 51 · Answer 11 · 2026-04-02 01:05:42

51

Views

dV of differential disc forming sphere vs dA of differential ring forming spherical shell

Published on 02 Apr 2026 - 1:05

score 134 · Answer 12 · 2026-03-26 08:14:17

134

Views

Evaluating $\int_1^e{\sqrt{\ln x}}dx$ by finding volume

Published on 26 Mar 2026 - 8:14

score 71 · Answer 13 · 2026-03-29 19:10:20

71

Views

Why is $\mathrm{d}V = 2\pi R \sin(\theta) R\ \mathrm{d}\theta \mathrm{d}R$ for a solid sphere?

Published on 29 Mar 2026 - 19:10

score 83 · Answer 14 · 2026-03-30 04:27:57

83

Views

Volume of a figure (Triple integral)

Published on 30 Mar 2026 - 4:27

score 109 · Answer 15 · 2023-12-30 23:35:37

109

Views

Volume of region in $\mathbb{R}^n$ defined by $\binom{n}2$ linear constraints

Published on 30 Dec 2023 - 23:35

List Question

Volume of the region bounded by $y=x^2$ and $y=x^3$ when it's rotated about the line $x=1$

Calculating Volume of "fat sphere" defined by $x^8+y^8+z^8 = 64$

Problem 3-35(b) in "Calculus on Manifolds" by Michael Spivak. Please tell me how to complete (b) using the author's hint.

How to show that a projecting an n-dimensional simplex decrease its volume?

On average, how many uniformly random real numbers from $0$ to $1$ are required for the sum of their squares to exceed $1$?

Approaching the volume under a gaussian function using concentric cylinders

Looking for resources possibly books that have good exercises on Applications of Integration Volumes and Areas

getting two different values for same volume, both solutions seem logically apt, yet are algebraically different

n-dimensional volume of a hypersphere

Find the volume rotated around $x$-axis when the area intersect on $x$-axis.

dV of differential disc forming sphere vs dA of differential ring forming spherical shell

Evaluating $\int_1^e{\sqrt{\ln x}}dx$ by finding volume

Why is $\mathrm{d}V = 2\pi R \sin(\theta) R\ \mathrm{d}\theta \mathrm{d}R$ for a solid sphere?

Volume of a figure (Triple integral)

Volume of region in $\mathbb{R}^n$ defined by $\binom{n}2$ linear constraints

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