Expert: Abe Mantell - 1/7/2009

Question
evaluate the integral int o to 2a dx int (2ax-x^2)^(1/2) to  
(4ax-x^2)^(1/2) of (1+y^2/x^2)dy  by changing to polar
coordinates to r,theta where x=rcos^2(theta) and
y=rsin(theta)cos(theta)

Answer
Hello Biswa,

I am not clear about the integral.  Is there any way you can
scan a hand-written version of it so i can see EXACTLY what it is?

Also, you say to convert to polar coordinates, which would be
x=r*cos(theta), y=r*sin(theta), NOT what you gave...please explain
why you say x=rcos^2(theta) and y=rsin(theta)cos(theta).

TTYL, Abe