# Polar Coordinates – Finding integration limits in polar coordinates – Exercise 3994

Exercise

Given the double integral

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

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

$$\{(x,y)|0\leq x\leq 1,0\leq y\leq1-x\}$$

$$\int_0^{\frac{\pi}{2}}d\theta\int_0^{\frac{1}{\sin\theta+\cos\theta}} f(r\cos\theta,r\sin\theta)\cdot r dr$$
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