Evaluate the integral \[ I=\int _0^\infty \frac {x^2\cos x}{x^4+a^4}\,dx \] by contour integration. Use the Jordan lemma.
Question
Math 6420 • PDE
Fall 1997 • Question 7
Question
Fall 1997 • Question 7
Evaluate the integral \[ I=\int _0^\infty \frac {x^2\cos x}{x^4+a^4}\,dx \] by contour integration. Use the Jordan lemma.