?In Exercises 5 and 6, verify Green's Theorem by using a computer algebra system to evaluate both integrals \(\int_{C} x e^{y} d x+e^{x} d y=\

Chapter 15, Problem 5

(choose chapter or problem)

In Exercises 5 and 6, verify Green's Theorem by using a computer algebra system to evaluate both integrals

\(\int_{C} x e^{y} d x+e^{x} d y=\int_{R} \int\left(\frac{\partial N}{\partial x}-\frac{\partial M}{\partial y}\right) d A\)

for the given path.

C: circle given by \(x^{2}+y^{2}=4\)

Text Transcription:

int_C xe^{y} dx + e^{x} dy = int_R int(partial N / partial x - partial M / partial y) dA

x^2 + y^2 = 4