Evaluating real integrals using the residue theorem. 5.0⁰ ∞x sin(3x) x² + 16 -dx =?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 49E
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6) Evaluating real integrals using the residue theorem.
(a)
6.
x sin(3x)
x² + 16
-dx =?
Hint: Use that the function is even and that sin(ax) = Im(eiax).
Transcribed Image Text:6) Evaluating real integrals using the residue theorem. (a) 6. x sin(3x) x² + 16 -dx =? Hint: Use that the function is even and that sin(ax) = Im(eiax).
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