Question

how to calculate $\int_{C}(2x^2+1)e^{x^2+y^2}dx+(2xy)e^{x^2+y^2}dy$ using Green theorem

score 169 · Answer 1 · 2026-05-11 09:08:13

169

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how to calculate $\int_{C}(2x^2+1)e^{x^2+y^2}dx+(2xy)e^{x^2+y^2}dy$ using Green theorem

Published on 11 May 2026 - 9:08

score 51 · Answer 2 · 2026-05-11 03:17:12

51

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Finding the maximum value of the integral $\int_{C}x^2y-2y^2-5y{dx} +(2xy-y^2x){dy}$

Published on 11 May 2026 - 3:17

score 145 · Answer 3 · 2026-04-16 22:15:25

145

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How to show that this manifold has dimension 2?

Published on 16 Apr 2026 - 22:15

score 1.9k · Answer 4 · 2026-05-11 09:35:44

1.9k

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How to find the volume of ellipsoid using substitution in triple integral?

Published on 11 May 2026 - 9:35

score 215 · Answer 5 · 2026-05-11 00:42:02

215

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Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

Published on 11 May 2026 - 0:42

score 38 · Answer 6 · 2026-04-16 07:48:55

38

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Condition for this equality? $\int_{-\infty}^{t-\tau} \bigg(\chi(t-\tau,t')-\chi(t,t'+\tau)\bigg)E(t')\, dt'=0$

Published on 16 Apr 2026 - 7:48

score 136 · Answer 7 · 2026-04-16 08:00:53

136

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Line integral of the vector field $(x-y,y-z,x+z)$ along a path on the unit sphere from $(1,0,0)$ to $(0,1,0)$ to $(0,0,1)$ back to $(1,0,0)$

Published on 16 Apr 2026 - 8:00

score 153 · Answer 8 · 2026-05-15 22:26:02

153

Views

surface area with integrals

Published on 15 May 2026 - 22:26

score 51 · Answer 9 · 2026-04-15 13:06:22

51

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Does the following integral depending on $\alpha$ converge : $\int_{R^2} \frac{1}{(1+x^4+y^4)^\alpha}$?

Published on 15 Apr 2026 - 13:06

score 490 · Answer 10 · 2026-04-11 19:07:39

490

Views

Does the improper integral $\int_{\mathbb{R}^2} e^{-xy}\sin(x)$ converge?

Published on 11 Apr 2026 - 19:07

score 288 · Answer 11 · 2026-04-16 09:32:30

288

Views

Have I correctly proved that $\lim_{||(x,y)||\to\infty}\frac1{y-x}\int_x^y\exp(-1/|t|)dt$ equals $1$?

Published on 16 Apr 2026 - 9:32

score 11.1k · Answer 12 · 2026-04-08 21:18:44

11.1k

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Split up a double integral

Published on 08 Apr 2026 - 21:18

score 69 · Answer 13 · 2026-05-11 03:17:24

69

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Calculate $\int_{C} \frac{x}{x^2+y^2} dx + \frac{y}{x^2+y^2} dy~$ where $C$ is straight line segment connecting $(1,1)$ to $(2,2)$

Published on 11 May 2026 - 3:17

score 147 · Answer 14 · 2026-05-11 08:46:41

147

Views

How to determine an integral of a differential form?

Published on 11 May 2026 - 8:46

score 48 · Answer 15 · 2026-05-11 00:04:20

48

Views

Flux. Multivariable Calculus

Published on 11 May 2026 - 0:04

List Question

how to calculate $\int_{C}(2x^2+1)e^{x^2+y^2}dx+(2xy)e^{x^2+y^2}dy$ using Green theorem

Finding the maximum value of the integral $\int_{C}x^2y-2y^2-5y{dx} +(2xy-y^2x){dy}$

How to show that this manifold has dimension 2?

How to find the volume of ellipsoid using substitution in triple integral?

Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

Condition for this equality? $\int_{-\infty}^{t-\tau} \bigg(\chi(t-\tau,t')-\chi(t,t'+\tau)\bigg)E(t')\, dt'=0$

Line integral of the vector field $(x-y,y-z,x+z)$ along a path on the unit sphere from $(1,0,0)$ to $(0,1,0)$ to $(0,0,1)$ back to $(1,0,0)$

surface area with integrals

Does the following integral depending on $\alpha$ converge : $\int_{R^2} \frac{1}{(1+x^4+y^4)^\alpha}$?

Does the improper integral $\int_{\mathbb{R}^2} e^{-xy}\sin(x)$ converge?

Have I correctly proved that $\lim_{||(x,y)||\to\infty}\frac1{y-x}\int_x^y\exp(-1/|t|)dt$ equals $1$?

Split up a double integral

Calculate $\int_{C} \frac{x}{x^2+y^2} dx + \frac{y}{x^2+y^2} dy~$ where $C$ is straight line segment connecting $(1,1)$ to $(2,2)$

How to determine an integral of a differential form?

Flux. Multivariable Calculus

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