List questions from surface-integrals

Published on 10 Apr 2026 - 9:53

837

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Surface area of $x^2+z^2=a^2$ inside of $x^2+y^2 = 2ay$ and in first octant

Published on 16 Apr 2026 - 7:04

726

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calculate the surface integral in the upper hemisphere

Published on 11 May 2026 - 1:58

136

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How to show $\unicode{x222F} \dfrac{\hat{r} \times \vec{dS}}{r^2}=0$

Published on 06 May 2026 - 3:35

45

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Calculate the flow of $\vec{F}(x,y,z) = 3x\vec{i} + 3y\vec{j} + z^5\vec{k}$ over the surface $x^2 + y^2 = 25$ for $0 \leq z \leq 1$

Published on 16 Apr 2026 - 17:02

1.3k

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Surface integral of curl

Published on 10 May 2026 - 19:05

443

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Stokes' Theorem - Vector Field

Published on 10 May 2026 - 18:30

55

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surface area of two connected surfaces

Published on 12 Apr 2026 - 1:23

513

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Volume between cone and sphere of radius $\sqrt2$ with surface integral

Published on 11 Apr 2026 - 17:31

221

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How to evaluate this surface integral $ \iint_T e^{(y-x)/(y+x)} dA$ where $T$ is the triangular region with vertices $(0,0)$, $(1,0)$ and $(0,1)$?

Published on 14 Apr 2026 - 5:59

150

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Where is my mistake? Calculating surface integral/Stoke's theorem

Published on 11 May 2026 - 2:00

179

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surface integrals — is it "dx" or "ds"?

Published on 15 Apr 2026 - 12:29

3.4k

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Verify Stokes' theorem on a hemisphere using a line integral

Published on 11 May 2026 - 3:46

64

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Calculate the area of $z=\frac{x^2}{2}+\frac{y^2}{2}\;$ that is enclosed by $x^2+\frac{y^2}{4}=1$

Published on 17 Apr 2026 - 10:08

1.4k

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Surface integral of position vector over a sphere

Published on 15 Apr 2026 - 13:43

List Question

Surface integral for area calculation

Surface area of $x^2+z^2=a^2$ inside of $x^2+y^2 = 2ay$ and in first octant

calculate the surface integral in the upper hemisphere

How to show $\unicode{x222F} \dfrac{\hat{r} \times \vec{dS}}{r^2}=0$

Calculate the flow of $\vec{F}(x,y,z) = 3x\vec{i} + 3y\vec{j} + z^5\vec{k}$ over the surface $x^2 + y^2 = 25$ for $0 \leq z \leq 1$

Surface integral of curl

Stokes' Theorem - Vector Field

surface area of two connected surfaces

Volume between cone and sphere of radius $\sqrt2$ with surface integral

How to evaluate this surface integral $ \iint_T e^{(y-x)/(y+x)} dA$ where $T$ is the triangular region with vertices $(0,0)$, $(1,0)$ and $(0,1)$?

Where is my mistake? Calculating surface integral/Stoke's theorem

surface integrals — is it "dx" or "ds"?

Verify Stokes' theorem on a hemisphere using a line integral

Calculate the area of $z=\frac{x^2}{2}+\frac{y^2}{2}\;$ that is enclosed by $x^2+\frac{y^2}{4}=1$

Surface integral of position vector over a sphere

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