Unformatted text preview: a + cos θ = 2 π √ a 2-1 . [ Hint: You can realize this integral as the parametrized form of an integral over the unit circle by setting z = e iθ .] Exercise 3. Suppose that f is analytic on a disk D and that γ is a simple closed curve in D . Suppose that f is constant on γ . Prove that f takes on the same constant value everywhere inside γ as well....
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- Fall '11
- Integrals, Manifold, simple closed curve