Evaluate the integral by the method of residues: \[ \int _0^\infty \frac {x\sin x}{x^2+a^2}\,dx, \] for \(a\in \mathbb R\).
Question
Math 6210 • Real Analysis
Summer 2016 • Question 6
Question
Summer 2016 • Question 6
Evaluate the integral by the method of residues: \[ \int _0^\infty \frac {x\sin x}{x^2+a^2}\,dx, \] for \(a\in \mathbb R\).