Let \(n\) be a positive integer. Use a contour integral to compute \[ \int _0^{2\pi }\cos ^{2n}(\theta )\,d\theta \] in terms of \(n\).
Question
Math 6210 • Real Analysis
Spring 2010 • Question 7
Question
Spring 2010 • Question 7
Let \(n\) be a positive integer. Use a contour integral to compute \[ \int _0^{2\pi }\cos ^{2n}(\theta )\,d\theta \] in terms of \(n\).