Compute this integral.
I've tried using polar coordinates (it seems the obvious thing to do) but the domain pretty much messed everthing up. since D is the upper right square [0,1]X[0,1].
I got 2 possible boundaries to choose from:
1) 0<=R<=sqrt(2) , 0<=Theta<=sin(1/R)
2) 0<=R<=1/sin(Theta) , 0<=Theta<=pie/2
I couldn't integrate either of them.. your assistance is welcome :-)
thank you for your answer, it was helpful :-)
I got stuck with another problem, it says "compute the following integral. hint: use the rotational transformation to get new coordinates (u,v) so the u = ..."
I didn't understand how the substitution they suggested is a rotational transformation, and consequently what v(x,y) should be.
thank you in advance.