Full answer: Using Green's theorem, evaluate f F(r)-drcounterclockwise c around the

Chapter 10, Problem 10.1.63

(choose chapter or problem)

Using Green's theorem, evaluate \(int_{C} \mathbf{F}(\mathbf{r}) \cdot d \mathbf{r}\) counterclockwise around the boundary curve C of the region R, where

\(\mathbf{F}=\left[-y^{3}, x^{3}\right]\), C the circle \(x^{2}+y^{2}=25\)

Text Transcription:

int_C F(r) cdot dr

F = [-y^3, x^3]

x^2 + y^2 = 25

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