Use residue calculus to show that
\[
\int_{-\infty}^{\infty}\frac{x\sin(ax)}{x^4+4}\,dx
=\frac{\pi}{2}e^{-a}\sin(a),\qquad a>0.
\]
**(a)**
Question
Math 6720 • Applied Complex Variables and Asymptotic Methods
Fall 2022 • Question 3
Question
Fall 2022 • Question 3