Question

Evaluate the double integral $\int_{0}^{\pi}\int_{0}^{\pi}\frac{1-\cos(3x+3y)}{2-\cos(x)-\cos(y)}dxdy$

score 135 · Answer 1 · 2022-10-16 02:39:05

135

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Evaluate the double integral $\int_{0}^{\pi}\int_{0}^{\pi}\frac{1-\cos(3x+3y)}{2-\cos(x)-\cos(y)}dxdy$

Published on 16 Oct 2022 - 2:39

score 767 · Answer 2 · 2026-04-01 23:54:27

767

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Determine the mass of the solid, if the density at a point $P(x,y,z)$ is proportional to the distance from the $xy$ plane.

Published on 01 Apr 2026 - 23:54

score 163 · Answer 3 · 2022-10-23 15:09:40

163

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Can I apply both Method of cylindrical shell and Method of rings to get the same volume?

Published on 23 Oct 2022 - 15:09

score 365 · Answer 4 · 2022-10-28 18:08:47

365

Views

Compute the triple integral over the region $x^2+y^2+z^2 \leq 2x$, $z\leq 0$

Published on 28 Oct 2022 - 18:08

score 71 · Answer 5 · 2026-02-24 13:37:01

71

Views

Generalized Leibniz's Rule

Published on 24 Feb 2026 - 13:37

score 69 · Answer 6 · 2022-11-01 12:36:40

69

Views

How to check if a double integral is finite?

Published on 01 Nov 2022 - 12:36

score 1.5k · Answer 7 · 2026-04-01 18:50:18

1.5k

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Find the volume of the solid that lies above the cone : $z^2 = x^2 + y^2$ and inside the sphere $x^2 + y^2 + (z-2)^2 = 4$

Published on 01 Apr 2026 - 18:50

score 102 · Answer 8 · 2022-11-05 09:29:32

102

Views

Variable substitution with 3 variables

Published on 05 Nov 2022 - 9:29

score 41 · Answer 9 · 2022-11-05 19:28:35

41

Views

Volume bounded by the three cylinders and the two tangent planes

Published on 05 Nov 2022 - 19:28

score 339 · Answer 10 · 2022-11-12 08:18:21

339

Views

Evaluate $\iint (\frac{(x-y)}{x+y})^4$ over the triangular region bounded by $x+y=1$, $x$-axis ,$y$-axis

Published on 12 Nov 2022 - 8:18

score 163 · Answer 11 · 2022-11-12 17:29:57

163

Views

Volume between paraboloid and sphere

Published on 12 Nov 2022 - 17:29

score 56 · Answer 12 · 2022-11-13 12:46:49

56

Views

Volume between plane and paraboloid

Published on 13 Nov 2022 - 12:46

score 45 · Answer 13 · 2022-11-13 15:26:30

45

Views

Volume and mass of inertia of the body bounded $z=0$, $x=0$, $y^2=x^3$, $y+z=1$ and $z-y=1$

Published on 13 Nov 2022 - 15:26

score 63 · Answer 14 · 2022-11-13 15:42:28

63

Views

Double integration an even function

Published on 13 Nov 2022 - 15:42

score 40 · Answer 15 · 2022-11-15 09:05:42

40

Views

$\int_{y=0}^{y=2} \int_{x= y}^{x=\sqrt{8-y^2}}\frac{1}{\sqrt{x^2+y^2+1}}dxdy$ using double integration in polar coordinates.

Published on 15 Nov 2022 - 9:05

List Question

Evaluate the double integral $\int_{0}^{\pi}\int_{0}^{\pi}\frac{1-\cos(3x+3y)}{2-\cos(x)-\cos(y)}dxdy$

Determine the mass of the solid, if the density at a point $P(x,y,z)$ is proportional to the distance from the $xy$ plane.

Can I apply both Method of cylindrical shell and Method of rings to get the same volume?

Compute the triple integral over the region $x^2+y^2+z^2 \leq 2x$, $z\leq 0$

Generalized Leibniz's Rule

How to check if a double integral is finite?

Find the volume of the solid that lies above the cone : $z^2 = x^2 + y^2$ and inside the sphere $x^2 + y^2 + (z-2)^2 = 4$

Variable substitution with 3 variables

Volume bounded by the three cylinders and the two tangent planes

Evaluate $\iint (\frac{(x-y)}{x+y})^4$ over the triangular region bounded by $x+y=1$, $x$-axis ,$y$-axis

Volume between paraboloid and sphere

Volume between plane and paraboloid

Volume and mass of inertia of the body bounded $z=0$, $x=0$, $y^2=x^3$, $y+z=1$ and $z-y=1$

Double integration an even function

$\int_{y=0}^{y=2} \int_{x= y}^{x=\sqrt{8-y^2}}\frac{1}{\sqrt{x^2+y^2+1}}dxdy$ using double integration in polar coordinates.

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