Question

$\iint \sqrt{1-y^2}$ on a disk. Converges and satisfies Fubini, but doing it as an iterated integral diverges?

score 66 · Answer 1 · 2021-09-01 08:50:04

66

Views

$\iint \sqrt{1-y^2}$ on a disk. Converges and satisfies Fubini, but doing it as an iterated integral diverges?

Published on 01 Sep 2021 - 8:50

score 94 · Answer 2 · 2021-09-04 20:00:27

94

Views

I don't agree this evaluation of the volume of $E=\{(x,y,z) \in \mathbb{R}^3 \ | \ 4 \leq x^2+y^2+z^2 \leq 9, x^2+y^2 \geq 1\}$

Published on 04 Sep 2021 - 20:00

score 42 · Answer 3 · 2026-04-02 10:53:46

42

Views

Surface/Line integral with $f(x,y,z)=x+e^{(x+y-z)^2},g(x,y,z)=-e^{(x+y-z)^2},h(x,y,z)=xy$

Published on 02 Apr 2026 - 10:53

score 214 · Answer 4 · 2021-09-05 17:32:01

214

Views

Sketch and evaluate the integral region $x \ge 0, x^2+y^2 \le 2, x^2+y^2\ge 1$

Published on 05 Sep 2021 - 17:32

score 797 · Answer 5 · 2026-03-26 06:31:43

797

Views

$\iiint_M (x+y+z)\,dx\,dy\,dz$ over $M=\{(x,y,z)\in\mathbb{R^3}: 0≤z≤(x^2+y^2)^2≤81\}$

Published on 26 Mar 2026 - 6:31

score 84 · Answer 6 · 2026-03-25 23:42:42

84

Views

Compute $\int_{0}^{1}\int_{0}^{z}\int_{0}^{\sqrt{z^2-x^2}} \dfrac{e^{z^2}}{\sqrt{x^2+y^2}}\, dy\, dx\, dz$ using this change of coorninates.

Published on 25 Mar 2026 - 23:42

score 50 · Answer 7 · 2021-09-09 05:01:03

50

Views

How to compute $\iint_{x^2+y^2<1}\int_0^{x^2+y^2} \frac{e^x}{1-z^2}dz dxdy$

Published on 09 Sep 2021 - 5:01

score 137 · Answer 8 · 2021-09-09 20:22:16

137

Views

Evaluate the integral $\iint_De^{-x^2}\,dx\,dy$

Published on 09 Sep 2021 - 20:22

score 66 · Answer 9 · 2021-09-11 14:46:16

66

Views

Caculate $\iint_D \frac{x^2+y^2}{\sqrt{4-(x^2+y^2)^2}}dxdy$, with D:$\frac{x^2}{2}+y^2\leq1$

Published on 11 Sep 2021 - 14:46

score 67 · Answer 10 · 2026-04-01 06:04:15

67

Views

Triple Intergal in spherical coordinates

Published on 01 Apr 2026 - 6:04

score 97 · Answer 11 · 2021-09-17 20:03:44

97

Views

How does the 2D Fourier Transform operate on Partial Derivates?

Published on 17 Sep 2021 - 20:03

score 124 · Answer 12 · 2021-09-21 16:05:38

124

Views

$\int dx\, dy\, dz\, d p_x\, dp_y\, dp_z$ Does it have any physical meaning?

Published on 21 Sep 2021 - 16:05

score 94 · Answer 13 · 2021-09-25 10:17:44

94

Views

Prove that $\int_{[0,1]\times [0,1]} f(x,y) \,dA$ doesn't exist. I cannot prove this.

Published on 25 Sep 2021 - 10:17

score 38 · Answer 14 · 2021-09-26 19:21:57

38

Views

Is the change of order of the integration correct?

Published on 26 Sep 2021 - 19:21

score 96 · Answer 15 · 2021-09-27 14:58:44

96

Views

Converting $ \int_{1}^{2}\int_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}}{x\,dy\,dx} $ to polar coordinates

Published on 27 Sep 2021 - 14:58

List Question

$\iint \sqrt{1-y^2}$ on a disk. Converges and satisfies Fubini, but doing it as an iterated integral diverges?

I don't agree this evaluation of the volume of $E=\{(x,y,z) \in \mathbb{R}^3 \ | \ 4 \leq x^2+y^2+z^2 \leq 9, x^2+y^2 \geq 1\}$

Surface/Line integral with $f(x,y,z)=x+e^{(x+y-z)^2},g(x,y,z)=-e^{(x+y-z)^2},h(x,y,z)=xy$

Sketch and evaluate the integral region $x \ge 0, x^2+y^2 \le 2, x^2+y^2\ge 1$

$\iiint_M (x+y+z)\,dx\,dy\,dz$ over $M=\{(x,y,z)\in\mathbb{R^3}: 0≤z≤(x^2+y^2)^2≤81\}$

Compute $\int_{0}^{1}\int_{0}^{z}\int_{0}^{\sqrt{z^2-x^2}} \dfrac{e^{z^2}}{\sqrt{x^2+y^2}}\, dy\, dx\, dz$ using this change of coorninates.

How to compute $\iint_{x^2+y^2<1}\int_0^{x^2+y^2} \frac{e^x}{1-z^2}dz dxdy$

Evaluate the integral $\iint_De^{-x^2}\,dx\,dy$

Caculate $\iint_D \frac{x^2+y^2}{\sqrt{4-(x^2+y^2)^2}}dxdy$, with D:$\frac{x^2}{2}+y^2\leq1$

Triple Intergal in spherical coordinates

How does the 2D Fourier Transform operate on Partial Derivates?

$\int dx\, dy\, dz\, d p_x\, dp_y\, dp_z$ Does it have any physical meaning?

Prove that $\int_{[0,1]\times [0,1]} f(x,y) \,dA$ doesn't exist. I cannot prove this.

Is the change of order of the integration correct?

Converting $ \int_{1}^{2}\int_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}}{x\,dy\,dx} $ to polar coordinates

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