Section 15.3: Integration in Polar Coordinates
Exercise 37
Find the average value of the function \(f(x, y) = 1/\sqrt{x^2 + y^2}\) on the annular region \(a^2 \le x^2 + y^2 \le b^2\), where \(0 < a < b\).
Find the average value of the function \(f(x, y) = 1/\sqrt{x^2 + y^2}\) on the annular region \(a^2 \le x^2 + y^2 \le b^2\), where \(0 < a < b\).