Let \(a, b > 0\). Using the residue calculus evaluate the improper integral
\[ \int _0^\infty \frac {x\sin (ax)}{x^2+b^2}\,dx. \]
Question
Math 6220 • Complex Analysis
Fall 2022 • Question 4
Question
Fall 2022 • Question 4
Let \(a, b > 0\). Using the residue calculus evaluate the improper integral