Question

Calcuate the integral $\int_1^{-1}dx\int_x^{2x}e^{x+y}dy$

score 39 · Answer 1 · 2021-09-05 12:48:07

39

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Calcuate the integral $\int_1^{-1}dx\int_x^{2x}e^{x+y}dy$

Published on 05 Sep 2021 - 12:48

score 83 · Answer 2 · 2021-09-06 19:53:55

83

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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 06 Sep 2021 - 19:53

score 53 · Answer 3 · 2021-09-24 10:20:41

53

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Can we write the right hand side as a one integral formula? (A lecture on multivariable mathematics by Theodore Shifrin on YouTube)

Published on 24 Sep 2021 - 10:20

score 158 · Answer 4 · 2021-09-24 19:43:05

158

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Ramanujan: If $\psi(p,n)=\int_0^a\phi(p,x)\cos(nx)dx$, then $\frac\pi2\int_0^a\phi(p,x)\phi(q,nx)dx=\int_0^\infty\psi(q,x)\psi(p,nx)dx$.

Published on 24 Sep 2021 - 19:43

score 899 · Answer 5 · 2021-10-07 21:05:58

899

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$\int_a^x \int_a^t f(t_1) dt_1 dt = \int_a^x (x-t) f(t) dt$?

Published on 07 Oct 2021 - 21:05

score 47 · Answer 6 · 2021-10-24 13:40:08

47

Views

How we solve iterated integrals such as this one?

Published on 24 Oct 2021 - 13:40

score 47 · Answer 7 · 2021-11-22 02:55:53

47

Views

Writing the iterated expectation with a single integral

Published on 22 Nov 2021 - 2:55

score 50 · Answer 8 · 2021-11-23 12:58:58

50

Views

How to calculate this iterated integral:$\int_0^1dy\int_0^y dx\int_0^x \frac{e^z}{1-z}dz$?

Published on 23 Nov 2021 - 12:58

score 20 · Answer 9 · 2021-11-25 01:40:21

20

Views

Using iterated integrals to get the area with strict conditions

Published on 25 Nov 2021 - 1:40

score 35 · Answer 10 · 2021-12-15 10:45:04

35

Views

area of one rose petal using iterated integral but the outer integral is of radius

Published on 15 Dec 2021 - 10:45

score 80 · Answer 11 · 2022-03-29 19:48:22

80

Views

A polynomial sequence by iterated integration

Published on 29 Mar 2022 - 19:48

score 193 · Answer 12 · 2022-05-08 20:45:53

193

Views

Volumen of the intersection of a cone and a tangent cone.

Published on 08 May 2022 - 20:45

score 41 · Answer 13 · 2022-05-29 05:19:43

41

Views

Confusion over changing the bounds of an iterated integral

Published on 29 May 2022 - 5:19

score 367 · Answer 14 · 2022-06-09 19:53:05

367

Views

Iterated conditional probability notation

Published on 09 Jun 2022 - 19:53

score 51 · Answer 15 · 2022-06-16 00:14:43

51

Views

Is the tower property true conditional on vector?

Published on 16 Jun 2022 - 0:14

List Question

Calcuate the integral $\int_1^{-1}dx\int_x^{2x}e^{x+y}dy$

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.

Can we write the right hand side as a one integral formula? (A lecture on multivariable mathematics by Theodore Shifrin on YouTube)

Ramanujan: If $\psi(p,n)=\int_0^a\phi(p,x)\cos(nx)dx$, then $\frac\pi2\int_0^a\phi(p,x)\phi(q,nx)dx=\int_0^\infty\psi(q,x)\psi(p,nx)dx$.

$\int_a^x \int_a^t f(t_1) dt_1 dt = \int_a^x (x-t) f(t) dt$?

How we solve iterated integrals such as this one?

Writing the iterated expectation with a single integral

How to calculate this iterated integral:$\int_0^1dy\int_0^y dx\int_0^x \frac{e^z}{1-z}dz$?

Using iterated integrals to get the area with strict conditions

area of one rose petal using iterated integral but the outer integral is of radius

A polynomial sequence by iterated integration

Volumen of the intersection of a cone and a tangent cone.

Confusion over changing the bounds of an iterated integral

Iterated conditional probability notation

Is the tower property true conditional on vector?

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