Question

How to calculate $\iiint\limits_{x,y,z=0}^\infty \frac{xy^2z^3}{1-\cos(x^2)\cos(y^3)\cos(z^4)}\,dx\,dy\,dz$?

score 71 · Answer 1 · 2026-03-26 23:10:38

71

Views

How to calculate $\iiint\limits_{x,y,z=0}^\infty \frac{xy^2z^3}{1-\cos(x^2)\cos(y^3)\cos(z^4)}\,dx\,dy\,dz$?

Published on 26 Mar 2026 - 23:10

score 77 · Answer 2 · 2020-06-25 14:36:28

77

Views

Calculate $\int_D\sin(\frac{x\pi}{2y})dxdy$

Published on 25 Jun 2020 - 14:36

score 29 · Answer 3 · 2026-02-23 12:09:13

29

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Expand this integral: $L(q) = \int \prod_{i=1}^{K} q_{i}(\theta_{i}) log\left( \frac{p(\theta,x)}{\prod_{i=1}^{K} q_{i}(\theta_{i})} \right) d \theta$

Published on 23 Feb 2026 - 12:09

score 58 · Answer 4 · 2020-06-25 22:16:50

58

Views

$f(x,y)=4y+3x^2$ between $y=2x,y=0$ and $x=2$.

Published on 25 Jun 2020 - 22:16

score 154 · Answer 5 · 2020-06-26 17:50:47

154

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Finding $\iint_{A}\frac{dx\,dy}{(1+x^2)(1+x^2 y^2)}$ with Fubini's theorem

Published on 26 Jun 2020 - 17:50

score 76 · Answer 6 · 2020-06-28 05:29:46

76

Views

Triple integral probably in spherical Coordinates: $ \iiint _{W} zy\, dz\,dy\,dx$

Published on 28 Jun 2020 - 5:29

score 110 · Answer 7 · 2020-06-28 12:39:11

110

Views

Double integral $\int_{[0,1]^2} \frac{f(x)-f(y)}{x-y} dx\,dy$ for regular function $f$

Published on 28 Jun 2020 - 12:39

score 50 · Answer 8 · 2026-03-26 12:37:32

50

Views

Finding $\iiint_{D}x \, dV$ where $D=\left\{x^2+y^2\le1;x,y,z>0;x+y+z<1\right\}$

Published on 26 Mar 2026 - 12:37

score 47 · Answer 9 · 2020-06-30 22:13:27

47

Views

Prove $\int_0^1dx\int_x^{1/x}\frac{y^2dy}{(x+y)^2\sqrt{1+y^2}}=\sqrt{2}-\frac{1}{2}$ by change of order of integration.

Published on 30 Jun 2020 - 22:13

score 44 · Answer 10 · 2026-03-26 23:11:25

44

Views

Right way to multiply integrals.. as a normal product or as a wedge product?

Published on 26 Mar 2026 - 23:11

score 78 · Answer 11 · 2026-03-27 07:36:10

78

Views

Volume Integral over Oscillatory Function

Published on 27 Mar 2026 - 7:36

score 91 · Answer 12 · 2020-07-02 12:52:11

91

Views

Does $\iiint_{\mathbb{R}^3} \frac{1}{1+x^2y^2z^2}$ converge?

Published on 02 Jul 2020 - 12:52

score 42 · Answer 13 · 2026-03-27 03:00:15

42

Views

What substitution do I use for simple regions integration?

Published on 27 Mar 2026 - 3:00

score 58 · Answer 14 · 2020-07-03 10:43:16

58

Views

Evaluate $\iiint_{D}(x^2+y^2)^2\,dx\,dy\,dz$ over cylinder section

Published on 03 Jul 2020 - 10:43

score 62 · Answer 15 · 2026-03-26 23:11:45

62

Views

Help with $\int_{\Bbb D}(x^2 - y^2)\, dx\, dy$ where $\Bbb D=\{|x|+|y|\le2\}$

Published on 26 Mar 2026 - 23:11

List Question

How to calculate $\iiint\limits_{x,y,z=0}^\infty \frac{xy^2z^3}{1-\cos(x^2)\cos(y^3)\cos(z^4)}\,dx\,dy\,dz$?

Calculate $\int_D\sin(\frac{x\pi}{2y})dxdy$

Expand this integral: $L(q) = \int \prod_{i=1}^{K} q_{i}(\theta_{i}) log\left( \frac{p(\theta,x)}{\prod_{i=1}^{K} q_{i}(\theta_{i})} \right) d \theta$

$f(x,y)=4y+3x^2$ between $y=2x,y=0$ and $x=2$.

Finding $\iint_{A}\frac{dx\,dy}{(1+x^2)(1+x^2 y^2)}$ with Fubini's theorem

Triple integral probably in spherical Coordinates: $ \iiint _{W} zy\, dz\,dy\,dx$

Double integral $\int_{[0,1]^2} \frac{f(x)-f(y)}{x-y} dx\,dy$ for regular function $f$

Finding $\iiint_{D}x \, dV$ where $D=\left\{x^2+y^2\le1;x,y,z>0;x+y+z<1\right\}$

Prove $\int_0^1dx\int_x^{1/x}\frac{y^2dy}{(x+y)^2\sqrt{1+y^2}}=\sqrt{2}-\frac{1}{2}$ by change of order of integration.

Right way to multiply integrals.. as a normal product or as a wedge product?

Volume Integral over Oscillatory Function

Does $\iiint_{\mathbb{R}^3} \frac{1}{1+x^2y^2z^2}$ converge?

What substitution do I use for simple regions integration?

Evaluate $\iiint_{D}(x^2+y^2)^2\,dx\,dy\,dz$ over cylinder section

Help with $\int_{\Bbb D}(x^2 - y^2)\, dx\, dy$ where $\Bbb D=\{|x|+|y|\le2\}$

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