# Calculating Double Integral – Finding integration limits and the integral – Exercise 3899

Exercise

Calculate the double integral

$$\int\int_D \frac{1}{\sqrt{4-x}}dx dy$$

Where the domain D is bounded by the axes and the short arc of a circle having radius 2 and center at a point (2,2).

$$\int\int_D \frac{1}{\sqrt{4-x}}dx dy=8-5\frac{1}{3}\sqrt{2}$$