for example consider:
$$I:=\int_{a}^{b}\int_{c}^{d}f(x,y)\,dx\,dy$$
Now let’s say I want to convert to polar. How would my bounds change? The only examples I’ve seen and could find, have been when the bounds are functions of an integration variable. I understand how to do it in that case, but I am having trouble figuring out how to convert constant bounds in terms of $r$ and $\theta$.
Help is appreciated!
Also, any recourses to better learn this topic is appreciated as well if one feels so inclined as to do so.