Question

Evaluate $\iint_{S}xz\,dy\,dz$ where $S=\{(x,y,z)\mid x\geq0, y\geq0, z\geq0,2x+2y+z=2\}$

score 229 · Answer 1 · 2020-11-29 06:03:54

229

Views

Evaluate $\iint_{S}xz\,dy\,dz$ where $S=\{(x,y,z)\mid x\geq0, y\geq0, z\geq0,2x+2y+z=2\}$

Published on 29 Nov 2020 - 6:03

score 44 · Answer 2 · 2020-12-01 00:45:06

44

Views

Is there a way to do this with double integration?

Published on 01 Dec 2020 - 0:45

score 229 · Answer 3 · 2020-12-01 15:25:13

229

Views

How do I solve this exercise of double integral $\iint_{D}\frac{1}{\sqrt{x^{2}+y^{2}}}dA$?

Published on 01 Dec 2020 - 15:25

score 46 · Answer 4 · 2020-12-02 21:41:42

46

Views

Evaluate $\iint xy $ over a parallelogram given with $2x-y=1$, $2x-y=3$, $x+y=-2$, $x+y=0$

Published on 02 Dec 2020 - 21:41

score 57 · Answer 5 · 2026-03-31 15:43:34

57

Views

How do I convert this to spherical coordinates?

Published on 31 Mar 2026 - 15:43

score 288 · Answer 6 · 2020-12-03 07:07:26

288

Views

Calculate $I=\int_0^{2\pi}dx \int_0^{\pi} e^{\sin y(\cos x-\sin x)}\sin y\,dy$

Published on 03 Dec 2020 - 7:07

score 1.3k · Answer 7 · 2026-03-31 15:45:48

1.3k

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Find the volume of the solid enclosed by the surface $\rho=1+\cos\phi$

Published on 31 Mar 2026 - 15:45

score 73 · Answer 8 · 2020-12-06 19:40:30

73

Views

Double integral in polar coordinates (trouble with boundaries)

Published on 06 Dec 2020 - 19:40

score 30 · Answer 9 · 2026-03-31 15:51:46

30

Views

I'm integrating the function $z(x^2+y^2)$ over a sphere in the first octant$ x,y,z\geq 0$ (solved)

Published on 31 Mar 2026 - 15:51

score 37 · Answer 10 · 2020-12-08 12:13:50

37

Views

In a symmetric region about origin of XY plane Integration is same in all quadrant

Published on 08 Dec 2020 - 12:13

score 62 · Answer 11 · 2020-12-11 14:07:30

62

Views

Prove that $\iiint _{f^{-1}[a,b]}f(x,y,z)dxdydz=\int _a ^b tF'(t)dt$

Published on 11 Dec 2020 - 14:07

score 46 · Answer 12 · 2026-03-30 06:10:53

46

Views

Prove that $\vert \int_{B_a}f(x)dx \vert \leq \frac{a^{m+1}}{m^2+m}\omega _m \sup_{B_a} |\nabla f|$

Published on 30 Mar 2026 - 6:10

score 512 · Answer 13 · 2026-03-29 14:30:58

512

Views

Computing $\iint_{\Omega} (x+y^2) \ dx \ dy$ where $\Omega$ is a parallelogram

Published on 29 Mar 2026 - 14:30

score 61 · Answer 14 · 2020-12-13 07:23:01

61

Views

Prove this equality with mathematical induction. The volume of $\Omega$. Using multivariable calculus.

Published on 13 Dec 2020 - 7:23

score 72 · Answer 15 · 2020-12-14 07:29:44

72

Views

how to find the volume of the intersection of this cylinder and sphere?

Published on 14 Dec 2020 - 7:29

List Question

Evaluate $\iint_{S}xz\,dy\,dz$ where $S=\{(x,y,z)\mid x\geq0, y\geq0, z\geq0,2x+2y+z=2\}$

Is there a way to do this with double integration?

How do I solve this exercise of double integral $\iint_{D}\frac{1}{\sqrt{x^{2}+y^{2}}}dA$?

Evaluate $\iint xy $ over a parallelogram given with $2x-y=1$, $2x-y=3$, $x+y=-2$, $x+y=0$

How do I convert this to spherical coordinates?

Calculate $I=\int_0^{2\pi}dx \int_0^{\pi} e^{\sin y(\cos x-\sin x)}\sin y\,dy$

Find the volume of the solid enclosed by the surface $\rho=1+\cos\phi$

Double integral in polar coordinates (trouble with boundaries)

I'm integrating the function $z(x^2+y^2)$ over a sphere in the first octant$ x,y,z\geq 0$ (solved)

In a symmetric region about origin of XY plane Integration is same in all quadrant

Prove that $\iiint _{f^{-1}[a,b]}f(x,y,z)dxdydz=\int _a ^b tF'(t)dt$

Prove that $\vert \int_{B_a}f(x)dx \vert \leq \frac{a^{m+1}}{m^2+m}\omega _m \sup_{B_a} |\nabla f|$

Computing $\iint_{\Omega} (x+y^2) \ dx \ dy$ where $\Omega$ is a parallelogram

Prove this equality with mathematical induction. The volume of $\Omega$. Using multivariable calculus.

how to find the volume of the intersection of this cylinder and sphere?

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