Question

Is there a nice way to evaluate $\iiint_{E}\, \frac{dx\,dy \,dz}{\sqrt{x^2+y^2+(z-b)^2}}$ where $E:x^2+y^2+z^2\leq a^2$

score 537 · Answer 1 · 2026-04-16 13:23:25

537

Views

Is there a nice way to evaluate $\iiint_{E}\, \frac{dx\,dy \,dz}{\sqrt{x^2+y^2+(z-b)^2}}$ where $E:x^2+y^2+z^2\leq a^2$

Published on 16 Apr 2026 - 13:23

score 2.7k · Answer 2 · 2026-04-14 14:41:15

2.7k

Views

Find the volume common to sphere $x^2+y^2+z^2$ and the cylinder $x^2+y^2<ax$

Published on 14 Apr 2026 - 14:41

score 882 · Answer 3 · 2026-04-15 22:38:22

882

Views

Find the volume common to the surfaces $y^2+z^2=4ax$ and $x^2+y^2=2ax$

Published on 15 Apr 2026 - 22:38

score 1.3k · Answer 4 · 2026-04-11 00:04:53

1.3k

Views

A query on Integration by parts formula (from Evans - Partial Differential Equation).

Published on 11 Apr 2026 - 0:04

score 152 · Answer 5 · 2026-05-10 19:52:12

152

Views

Computing $\int_{S} \vec{F}.\hat{n}\,dS$ where $S:\{(x,y,z)\in R^3:x^2+y^2+2z=2,z\geq 0\}$

Published on 10 May 2026 - 19:52

score 88 · Answer 6 · 2026-04-16 19:45:29

88

Views

Calculate: $\iint_{D}(x^2-y^2)dxdy$ D is the area inside the lemniscate $(x^2+y^2)^2=4(x^2-y^2)$

Published on 16 Apr 2026 - 19:45

score 167 · Answer 7 · 2026-04-16 09:41:29

167

Views

Evaluate the given complicated double integral

Published on 16 Apr 2026 - 9:41

score 73 · Answer 8 · 2026-04-09 05:46:10

73

Views

Triple integral with multiple y boundaries.

Published on 09 Apr 2026 - 5:46

score 156 · Answer 9 · 2026-04-14 02:25:44

156

Views

Triple integral with square root over a paraboloid

Published on 14 Apr 2026 - 2:25

score 82 · Answer 10 · 2026-05-10 12:30:37

82

Views

Double integration over $y=x$

Published on 10 May 2026 - 12:30

score 56 · Answer 11 · 2026-04-16 00:43:33

56

Views

finding the volume by solving the double integrals: $\int_{-2}^{3} \int_{0}^{1} |x|\sin(\pi y) dydx$

Published on 16 Apr 2026 - 0:43

score 52 · Answer 12 · 2026-04-15 07:02:22

52

Views

Multiply a number so that it's always in the thousand billions

Published on 15 Apr 2026 - 7:02

score 652 · Answer 13 · 2026-04-14 12:26:26

652

Views

Generalized polar coordinates, how to switch form cartesian to polar

Published on 14 Apr 2026 - 12:26

score 49 · Answer 14 · 2026-04-09 13:55:38

49

Views

How to compute this multi-variable integral?

Published on 09 Apr 2026 - 13:55

score 512 · Answer 15 · 2026-04-10 20:47:42

512

Views

Computational Challenge of Multivariate Integration in Sympy

Published on 10 Apr 2026 - 20:47

List Question

Is there a nice way to evaluate $\iiint_{E}\, \frac{dx\,dy \,dz}{\sqrt{x^2+y^2+(z-b)^2}}$ where $E:x^2+y^2+z^2\leq a^2$

Find the volume common to sphere $x^2+y^2+z^2$ and the cylinder $x^2+y^2<ax$

Find the volume common to the surfaces $y^2+z^2=4ax$ and $x^2+y^2=2ax$

A query on Integration by parts formula (from Evans - Partial Differential Equation).

Computing $\int_{S} \vec{F}.\hat{n}\,dS$ where $S:\{(x,y,z)\in R^3:x^2+y^2+2z=2,z\geq 0\}$

Calculate: $\iint_{D}(x^2-y^2)dxdy$ D is the area inside the lemniscate $(x^2+y^2)^2=4(x^2-y^2)$

Evaluate the given complicated double integral

Triple integral with multiple y boundaries.

Triple integral with square root over a paraboloid

Double integration over $y=x$

finding the volume by solving the double integrals: $\int_{-2}^{3} \int_{0}^{1} |x|\sin(\pi y) dydx$

Multiply a number so that it's always in the thousand billions

Generalized polar coordinates, how to switch form cartesian to polar

How to compute this multi-variable integral?

Computational Challenge of Multivariate Integration in Sympy

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