Use Greens Theorem to prove that Cf x dx gy dy 0 if and are differentiable functions and

Chapter 15, Problem 49

(choose chapter or problem)

Use Green's Theorem to prove that

\(\int_{C} f(x) d x+g(y) d y=0\)

if f and g are differentiable functions and C is a piecewise smooth simple closed path.

Text Transcription:

int_C f(x) dx+g(y) dy=0

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