List questions from line-integrals

Published on 23 Sep 2017 - 8:53

1k

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Trying to prove the fundamental theorem for gradients.

Published on 23 Sep 2017 - 9:07

412

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Evaluate $\int_c z^2\ dz$, where the curve $c$ is the line $x^2+y^2=\tan^{-1}(x,y)$

Published on 28 Sep 2017 - 13:42

99

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Gramian determinant and line integral of a vector field

Published on 09 Oct 2017 - 23:36

2.8k

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What is the intuition behind the line integral for the center of mass?

Published on 12 Oct 2017 - 5:11

357

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Path integral of the electric field from $(1,0)$ to $(0,1)$

Published on 22 Oct 2017 - 23:26

217

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Find the line integral of $x^2+y^2$ over the polar curve $r=e^{\theta}$

Published on 24 Oct 2017 - 20:06

118

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Use of polar coordinate delta function in line interation

Published on 01 Nov 2017 - 8:29

99

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Find $\int_{C}Fdr$ for the given $F$ and $C$

Published on 02 Nov 2017 - 5:39

295

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How can I compute the partial derivative under the line integral sign if the integrand is non-conservative?

Published on 04 Nov 2017 - 0:07

35

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Find the line integral using the fundamental theorem of line integrals

Published on 06 Nov 2017 - 17:43

62

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Proving $\oint\vec{F}(\vec{G}\cdot \hat{n}) d\sigma=\iiint[\vec{F}(\nabla \cdot \vec{G})+(\vec{G}\cdot\nabla)\vec{F}]dV$

Published on 28 Mar 2026 - 5:23

538

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Evaluate the following line integral: $\int_l\sqrt{x^2+y^2}dl$

Published on 11 Nov 2017 - 20:29

350

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Integrate over a disk

Published on 15 Nov 2017 - 2:13

218

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How to calculate the length of the portion of curve from given conditions.

Published on 27 Mar 2026 - 22:15

List Question

variation of a smooth function on a curve

Trying to prove the fundamental theorem for gradients.

Evaluate $\int_c z^2\ dz$, where the curve $c$ is the line $x^2+y^2=\tan^{-1}(x,y)$

Gramian determinant and line integral of a vector field

What is the intuition behind the line integral for the center of mass?

Path integral of the electric field from $(1,0)$ to $(0,1)$

Find the line integral of $x^2+y^2$ over the polar curve $r=e^{\theta}$

Use of polar coordinate delta function in line interation

Find $\int_{C}Fdr$ for the given $F$ and $C$

How can I compute the partial derivative under the line integral sign if the integrand is non-conservative?

Find the line integral using the fundamental theorem of line integrals

Proving $\oint\vec{F}(\vec{G}\cdot \hat{n}) d\sigma=\iiint[\vec{F}(\nabla \cdot \vec{G})+(\vec{G}\cdot\nabla)\vec{F}]dV$

Evaluate the following line integral: $\int_l\sqrt{x^2+y^2}dl$

Integrate over a disk

How to calculate the length of the portion of curve from given conditions.

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