Chapter 16.4, Problem 15E

Verify Green’s Theorem by using a computer algebra system to evaluate both the line integral and the double integral.

$P\left(x,y\right)=x^3{y}^4$, $Q\left(x,y\right)=x^5{y}^4$,

C consists of the line segment from $\left(-\pi /2,0\right)$, to $\left(\pi /2,0\right)$ followed by the arc of the curve $y=\cos x$ from $\left(\pi /2,0\right)$, to $\left(-\pi /2,0\right)$