HOW DO YOU SEE IT Use Greens Theorem to explain why where and are differentiable

Chapter 15, Problem 42

(choose chapter or problem)

Use Green's Theorem to explain why

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

where f and g are differentiable functions and C is a piecewise smooth simple closed path (see figure).

Text Transcription:

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

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