Math32B_practice2

Math32B_practice2 - Practice Midterm 2 I do not collect...

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Practice Midterm 2 I do not collect them MATH 31B Problem 1. Find R 1 sin θ . 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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