# Polar Coordinates – Finding integration limits in polar coordinates – Exercise 3992

Exercise

Given the double integral

$$\int\int_D f(x,y) dxdy$$

Calculate the integration limits in polar coordinates where D is the domain

$$a^2\leq x^2+y^2\leq b^2, 0

$$\int_0^{2\pi}d\theta\int_a^b f(r\cos\theta,r\sin\theta)\cdot r dr$$