Answer: Evaluate this integral by the divergence theorem.

Chapter 10, Problem 10.1.154

(choose chapter or problem)

Evaluate this integral by the divergence theorem. (Show the details.)

\(\mathbf{F}=\left[3 x y^{2}, \quad y x^{2}-y^{3}, 3 z x^{2}\right], S\) the surface of \(x^{2}+y^{2} \leqq 25,0 \leqq z \leqq 2\)

Text Transcription:

F = [3x y^2, yx^2 - y^3, 3z x^2], S

x^2 + y^2 leqq 25, 0 leqq z leqq 2

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