?Verify Green's Theorem by using a computer algebra system to evaluate both the line

Chapter 14, Problem 19

(choose chapter or problem)

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

\(P(x, y)=x^{3} y^{4}, Q(x, y)=x^{5} y^{4}\),
\(C\) consists of the line segment from \((-\pi / 2,0)\) to \((\pi / 2,0)\) followed by the arc of the curve \(y=\cos x\) from \((\pi / 2,0)\) to \((-\pi / 2,0)\)

Equation Transcription:

Text Transcription:

P(x, y) = x^3y^4, Q(x,y) = x^5y^4

C

(-pi/2, 0)

(pi/2, 0)

y = cos x

(pi/2, 0)

(-pi/2, 0)

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