Using Green's theorem, evaluate f

Chapter 10, Problem 10.1.70

(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

\(\mathbf{F}=\left[x \ln y, \quad y e^{x}\right]\). R the rectangle with vertices (0, 1), (3,1), (3, 2), (0, 2).

Text Transcription:

int_C F(r) cdot dr

F = [x ln y,     ye^x]

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