# hw7 - Z ∞ x 1 3 1 x 2 dx using the residue calculus(You...

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Complex Analysis Spring 2001 Homework VII Due Friday June 8 1. Conway, chapter 5, section 1, problem 1 b,d. 2. Conway, Chapter 5, section 2, problem 2 d,g. 3. Conway, chapter 5, section 2, problem 6. 4. Conway, chapter 5, section 2, problem 13.
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Unformatted text preview: Z ∞ x 1 3 1 + x 2 dx using the residue calculus. (You may optionally use a change of variable ﬁrst.) 6. Show that Z ∞ e-x 2 cos(2 bx ) dx = √ π 2 e-b 2 . You may assume that R ∞ e-x 2 dx = √ π 2 ....
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