Let M(r, y) = y – cos y and N(r, y) = x sin y. Use the Green's Theorem to calculate the line integral $ M(x, y) d.r + N(x, y) dy, where C is the circle r? + y? = 4 oriented counterclockwise.

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Let M(r, y) = y – cos y and N(r, y) = x sin y. Use the Green's Theorem to calculate
the line integral
$ M(x, y) d.r + N(x, y) dy,
where C is the circle r? + y? = 4 oriented counterclockwise.
Transcribed Image Text:Let M(r, y) = y – cos y and N(r, y) = x sin y. Use the Green's Theorem to calculate the line integral $ M(x, y) d.r + N(x, y) dy, where C is the circle r? + y? = 4 oriented counterclockwise.
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