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Quadruple integral from probability problem

score 142 · Answer 1 · 2026-03-25 23:51:05

142

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Quadruple integral from probability problem

Published on 25 Mar 2026 - 23:51

score 216 · Answer 2 · 2020-02-13 16:59:50

216

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$\int_{0}^{\infty} \frac{1}{x^2}\int_{0}^{x}\frac{\arctan\left(\frac{x}{\sqrt{t^2+2}}\right)}{(t^2+1)\sqrt{t^2+2}}\, dt \, dx $

Published on 13 Feb 2020 - 16:59

score 54 · Answer 3 · 2020-02-15 19:32:31

54

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Calculate $ \int\limits_{-1}^{1} \int\limits_{-1-\sqrt{2-2x^2}}^{-1+\sqrt{2-2x^2}} (1-2x^2-y^2-2y) \,dy\,dx$

Published on 15 Feb 2020 - 19:32

score 127 · Answer 4 · 2020-02-18 20:20:56

127

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Double integral over unit square

Published on 18 Feb 2020 - 20:20

score 69 · Answer 5 · 2020-02-19 10:41:50

69

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An identity for double integrals

Published on 19 Feb 2020 - 10:41

score 4.4k · Answer 6 · 2020-02-20 17:33:55

4.4k

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Volume of region bounded by $z=x^2+y^2$ and $z=2x$ (triple integral)

Published on 20 Feb 2020 - 17:33

score 265 · Answer 7 · 2020-02-21 08:23:49

265

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volume of a solid with a cylindrical hole

Published on 21 Feb 2020 - 8:23

score 51 · Answer 8 · 2020-02-21 09:14:38

51

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Double integration with various curves

Published on 21 Feb 2020 - 9:14

score 32 · Answer 9 · 2020-02-25 15:40:38

32

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Evaluating a double integral defined on two intervals

Published on 25 Feb 2020 - 15:40

score 68 · Answer 10 · 2020-02-27 13:44:54

68

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Finding $\int_0^t \int_0^s e^{-|p-q|}\,dp\,dq$

Published on 27 Feb 2020 - 13:44

score 276 · Answer 11 · 2020-02-28 06:32:08

276

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Revisiting Ahmed Integral in $(0,\infty)$

Published on 28 Feb 2020 - 6:32

score 104 · Answer 12 · 2020-03-01 08:53:35

104

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Derivative of a Double Integral With Functions in Bounds (Bounds function of 2 variables, Bounds of Circle)

Published on 01 Mar 2020 - 8:53

score 107 · Answer 13 · 2026-03-27 07:50:59

107

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The easiest way to evaluate $I=\iint_D e^{-(x^2+y^2)}\,dx\,dy,\ \ \ D=\left\{(x,y)\Bigm|2\leqslant |x|+|y|\leqslant 3\right\}$

Published on 27 Mar 2026 - 7:50

score 164 · Answer 14 · 2020-03-03 14:12:50

164

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volume of the intersection of the cone and the sphere

Published on 03 Mar 2020 - 14:12

score 43 · Answer 15 · 2020-03-06 17:55:19

43

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Triple integration with limits

Published on 06 Mar 2020 - 17:55

List Question

Quadruple integral from probability problem

$\int_{0}^{\infty} \frac{1}{x^2}\int_{0}^{x}\frac{\arctan\left(\frac{x}{\sqrt{t^2+2}}\right)}{(t^2+1)\sqrt{t^2+2}}\, dt \, dx $

Calculate $ \int\limits_{-1}^{1} \int\limits_{-1-\sqrt{2-2x^2}}^{-1+\sqrt{2-2x^2}} (1-2x^2-y^2-2y) \,dy\,dx$

Double integral over unit square

An identity for double integrals

Volume of region bounded by $z=x^2+y^2$ and $z=2x$ (triple integral)

volume of a solid with a cylindrical hole

Double integration with various curves

Evaluating a double integral defined on two intervals

Finding $\int_0^t \int_0^s e^{-|p-q|}\,dp\,dq$

Revisiting Ahmed Integral in $(0,\infty)$

Derivative of a Double Integral With Functions in Bounds (Bounds function of 2 variables, Bounds of Circle)

The easiest way to evaluate $I=\iint_D e^{-(x^2+y^2)}\,dx\,dy,\ \ \ D=\left\{(x,y)\Bigm|2\leqslant |x|+|y|\leqslant 3\right\}$

volume of the intersection of the cone and the sphere

Triple integration with limits

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