Question

How to prove $\iint_D(x\frac{\partial f}{\partial x}+y\frac{\partial f}{\partial y})dxdy=\frac{\pi}{2e}$?

score 36 · Answer 1 · 2023-11-06 03:04:52

36

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How to prove $\iint_D(x\frac{\partial f}{\partial x}+y\frac{\partial f}{\partial y})dxdy=\frac{\pi}{2e}$?

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score 34 · Answer 2 · 2026-03-27 00:56:55

34

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60

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108

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30

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score 28 · Answer 7 · 2023-11-15 08:15:39

28

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Find the main part of $\frac{1}{4\pi R^2}\iint_{\Sigma}u(x,y,z)dS-u(u_0,y_0,z_0)$.

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score 34 · Answer 8 · 2026-03-27 17:04:20

34

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score 72 · Answer 9 · 2026-03-28 06:00:31

72

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score 67 · Answer 10 · 2026-03-26 17:32:53

67

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score 55 · Answer 11 · 2023-12-01 23:19:15

55

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score 23 · Answer 12 · 2023-12-02 05:45:05

23

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25

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137

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score 53 · Answer 15 · 2023-12-03 19:38:44

53

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List Question

How to prove $\iint_D(x\frac{\partial f}{\partial x}+y\frac{\partial f}{\partial y})dxdy=\frac{\pi}{2e}$?

How to solve these complicated SA and arc length integrals?

Demonstration of an identity between a simple and a double integral of a Gaussian-Lorentzian product

Verifying Gauss divergence theorem

Change of variables method for surface integrals

Calculation of Surface Integration.

Find the main part of $\frac{1}{4\pi R^2}\iint_{\Sigma}u(x,y,z)dS-u(u_0,y_0,z_0)$.

What is the parametrization of this tetrahedron so that it satisfies assumption in Stokes' theorem?

How to calculate the limits of the integral and the outward vector? How to make change of variables in this proof?

How to solve this kind of surface integral with Hamilton Operator?

Change of basis and multivariate Taylor series in surface integral

Surface Integral over Cylinder with peculiar bounds

Using Gauss theorem to evaluate the flux

Scalar integrals in higher dimensions

Area of a surface by means of a double integral

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