The problem is to convert this integral from $dxdy$ form into $rdrd\theta$ form , please upload the graph also. I have the problem especially on the domain of the $\theta$ when convert from Cartesian coordinate into polar coordinate, thanks in advance for your help. $\int ^2 _{-2} \int ^3 _{-3} (x^2+y^2)\,dx\,dy$
I just want to learn how to convert this into polar coordinate and learn how to compute this in polar coordinate as a example
The answer is $\int_{-\arctan \frac{3}{2}}^{\arctan \frac{3}{2}} \int_0^{\frac{2}{\cos \theta}} r^2 r\,dr\,d\theta,$ please explain