Evaluate the integral II (curl F) 0 n dA

Chapter 10, Problem 10.1.177

(choose chapter or problem)

Evaluate the integral \(\iint_{S}\) ( curl \(\mathbf{F}) \cdot \mathbf{n} d A\) directly for the given \(\mathbf{F}\) and S.

\(\mathbf{F}=\left[y^{3},-x^{3}, 0\right], S: x^{2}+y^{2} \leqq 1, z=0\)

Text Transcription:

iint_S ( curl F) cdot n dA

F

F = [y^3, -x^3, 0], S: x^2 + y^2 leqq 1, z = 0

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