Answer: Using Green's theorem, evaluate f

Chapter 10, Problem 10.1.64

(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

\(\mathbf{F}=\left[-e^{y}, e^{x}\right]\), R the triangle with vertices (0, 0), (2, 0), (2, 1)

Text Transcription:

int_C F(r) cdot dr

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

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