Posted by **Elyse** on Thursday, June 6, 2013 at 3:10pm.

Use Green's theorem to evaluate the integral:

y^(2)dx+xy dy

where C is the boundary of the region lying between the graphs of y=0,

y=sqrt(x), and x=9

- Calculus -
**kuai**, Thursday, June 6, 2013 at 6:47pm
P = y^2

Q = xy

ç[0,9]ç[0(ãx)](ÝQ/Ýx-Ýp/Ýy)dy dx

ç[0, 9]ç[0, ãx ](y-2y)dy dx

ç[0,9]ç[0, ãx](-y)dy dx

ç[0,9]-x/2 dx

=(-x^2)/4 [0, 9] = (-81)/4

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