In Exercises 14, verify Greens Theorem by evaluating bothintegrals Cy2 dx 1 x2 dy RNx My

Chapter 15, Problem 1

(choose chapter or problem)

In Exercises 1–4, verify Green’s Theorem by evaluating both integrals

\(\int_{C} y^{2}\ d x+x^{2}\ d y=\int_{R} \int\left(\frac{\partial N}{\partial x}-\frac{\partial M}{\partial y}\right)\ d A\)

for the given path.

C: boundary of the region lying between the graphs of \(y=x\) and \(y=x^2\)

Text Transcription:

int _C y^2 dx + x^2 dy = int _R int (partial N/partial x - partial M/partial y) dA

y=x

y=x^2