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 ∞ ex 2 cos(2 bx ) dx = √ π 2 eb 2 . You may assume that R ∞ ex 2 dx = √ π 2 ....
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 Spring '01
 SNIDER

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