Section 15.3: Integration in Polar Coordinates

Evaluate the given integral by changing to polar coordinates: \(\iint_R \frac{y^2}{x^2 + y^2} dA\), where \(R\) is the region that lies between the circles \(x^2 + y^2 = a^2\) and \(x^2 + y^2 = b^2\) with \(0 < a < b\).