Practice Midterm 2 I do not collect them MATH 31B Problem 1. Find R 1 sin θ dθ . Problem 2. Find R sin-1 x x 2 dx . (you can use the result of problem 1) Problem 3. Find R 3 x 2-4 x + 5 ( x-1)( x 2 + 1) dx . Problem 4. Deﬁne Γ( p ) = R ∞0 x p-1 e-x for p ≥ 1. a) Find Γ(1). Prove that x p-1 e-x << e-x/ 2 at inﬁnity. b) Prove that Γ( p ) converges for
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This note was uploaded on 10/27/2008 for the course MATH 32B taught by Professor Rogawski during the Winter '08 term at UCLA.