Posted by Elyse on .
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,
P = y^2
Q = xy
ç[0,9]ç[0(ãx)](ÝQ/ÝxÝp/Ýy)dy dx
ç[0, 9]ç[0, ãx ](y2y)dy dx
ç[0,9]ç[0, ãx](y)dy dx
ç[0,9]x/2 dx
=(x^2)/4 [0, 9] = (81)/4