Doesn't r vary from 0 to 9?.
just trying figure this example out using greens theorem:
mapped counter-clockwise, is the circle
enter as a multiple of pi
so using substitution,
so
and
so i got this far how does this end bit work?? do i integrate? where do i go from here...
help...
int {[xy-4x^4y-ysqrt(x^2+y^2+1/2y^2sinx]dx
+ [4xy^4+8/3x^3y^2+sqrtx^2+y^2-ycosx]dy}
where r is the path mapped counter-clockwise: along y=o,
0<x<1; then along x^2+y^2=1, from (1,0)to (1/sqrt2,1/sqrt2);
finally y=x from (1/sqrt2,1sqrt2) to (0,0)