In Exercises 5 and 6, verify Greens Theorem by using acomputer algebra system to

Chapter 15, Problem 6

(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 : boundary of the region lying between the graphs of y = x and \(y=x^{3}\) in the first quadrant

Text Transcription:

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

y=x^3