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## Homework Statement

Evaluate the double integral by converting to polar coordinates.

∫∫ arctan y/x dA; R is the sector in the first quadrant between the circles 1/4= x^2+y^2 and x^2+y^2=1 and the lines y=x/√3 and y=x.

## Homework Equations

arctan y/x= θ

## The Attempt at a Solution

D={(r,θ) l 1/4≤r≤1, ∏/6≤∏/4}

∫∫ θr drdθ

Which gives me 25∏^2/3072 which is incorrect according to my book. The correct answer is 15∏^2/2304.