Ok. I have a quick question about the limits of integration for a problem:
*I am going to use @ for theta.*
Integrate f(x,y) = x + y over the region R bounded by r = cos(@)
I converted the function to a polar function and got r cos(@) + r sin(@) and a r dr d@ making it:
r^2[cos(@) + sin(@)]dr d@
now for the limits of integration I am using 0 to cos(@) and 0 to 2 pi Is this correct or should I use 0 to 1 for the dr since cos can only go from 0 to 1? I am thinking I am correct with my first method but I just wanted to check. Also if I made any other mistakes feel free to point those out as well.