How to solve the given definite integral in terms of Bessel functions?

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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.