Evaluate the integral II (curl F) 0 n dA directly for the

Chapter 10, Problem 10.1.171

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

\(\mathbf{F}=[0,0, \quad 5 x \cos z]\),

\(S: x^{2}+y^{2}=4, y \geqq 0,0 \leqq z \leqq \frac{1}{2} \pi\)

Text Transcription:

iint_S ( curl F) cdot n dA

F

F = [0, 0,     5 x cos z]

S: x^2 + y^2 = 4, y geqq 0, 0 leqq z leqq 1 / 2 pi

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