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mrs_skeptik [129]
3 years ago
6

Use Greens Theorem to evaluate integral x^2ydx - xy^2dy, where C is 0 ≤ y ≤ √9-x^2 with counterclockwise orientation

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

Step-by-step explanation:

a circle will satisfy the conditions of Green's Theorem since it is closed and simple.

Let's identify P and Q from the integral

P=x^2 y, and Q= xy^2

Now, using Green's theorem on the line integral gives,

\oint\limits_C {x^2ydx-xy^2dy } =\iint\limits_D {y^2-x^2} \, dA\\\\

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