Question

How to Find the integral $\int_{S}−(xy^2)~dydz + (2x ^2 y)~dzdx − (zy^2)~dxdy$ where is the portion of the sphere $x^2 + y^2 + z^2 = 1$

score 117 · Answer 1 · 2026-04-14 20:01:58

117

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How to Find the integral $\int_{S}−(xy^2)~dydz + (2x ^2 y)~dzdx − (zy^2)~dxdy$ where is the portion of the sphere $x^2 + y^2 + z^2 = 1$

Published on 14 Apr 2026 - 20:01

score 100 · Answer 2 · 2026-05-11 08:20:49

100

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2k

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189

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149

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score 219 · Answer 7 · 2026-04-10 19:23:49

219

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44

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730

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295

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41

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38

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4k

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List Question

How to Find the integral $\int_{S}−(xy^2)~dydz + (2x ^2 y)~dzdx − (zy^2)~dxdy$ where is the portion of the sphere $x^2 + y^2 + z^2 = 1$

Need help about references for 2D delta "function"

Compute area of a sphere through a Dirac delta

Area of circle showing concavity

How to compute the Jacobian matrix of a multivariate function in a nonstandard matrix?

If $f$ is integrable and and $g=f$ except at fintely many points. Prove that $g$ is integrable

general solution for double integral of square root of quadratic polynomials

Marginal density for joint pdf of multiple random variables

Evaluating the triple integral $\iiint (x-2) \,dx\,dy\,dz$ over a region

Triple integral $\iiint x^2 \,dx\,dy\,dz.$

Draw $r ≤ 3 + 2\sin (\theta)$

Prove this formula follows from a function being continuously differentiable?

given $z = e^x\ln(1+y)-y$

Solving a function from 2 partial derivatives

Bounded Gradient implies Lipschitz proof with the mean value theorem

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