(adsbygoogle = window.adsbygoogle || []).push({}); Curve consists of part of a circle x^{2}+ y^{2}= 4

theta from 0 to pi/4

Vector field F = <y^{2}-yx^{2}, yx^{2}>

(let the i component be P, and the j component be Q)

I used the following formula: double integral of [(partial derivative of Q with respect to x) - (partial derivative of P with respect to y) dA]

So I got: double integral of [ (2xy) - (2y - x^{2}) dy dx ] y from 0 to x, and x from 0 to 2

I got answer = 16/3 which is wrong.

My question is: What is wrong about the way I applied Green's thm?

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# Green's Thm: How am I not applying it correctly?

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