Evaluate the integral \[ \int _0^\infty \frac {\sin ax}{x(x^2+b^2)}\,dx \] where \(a\) and \(b\) are real numbers and \(b\ne 0\).
Question
Math 6210 • Real Analysis
2004 • Question 8
Question
2004 • Question 8
Evaluate the integral \[ \int _0^\infty \frac {\sin ax}{x(x^2+b^2)}\,dx \] where \(a\) and \(b\) are real numbers and \(b\ne 0\).