This is the integral that came after a series of calculations in an online physics lecture. It was told that this can be answered in terms of Bessel functions.
$$I=\frac{1}{(2\pi)^2}\int_{-\infty}^{\infty} \frac{x\,\sin(a\sqrt{m^2+x^2})\,e^{ixb}}{i b\sqrt{m^2+x^2}} dx$$
$a,~m~$ and $~b~$ are constants. $i=\sqrt(-1)$
I don't have any idea how to solve it. I need a hint to proceed.