# How to find the inverse Mellin transform?

The second formula is an integral transformation for the inverse Mellin transform.

Being new to integral transforms, I wonder how that formula was reached. In fact, how do we prove that transform is indeed the inverse of the Mellin transform?

I know a bit about contour integration and Fourier series but I'm still confused.

Do we need to work with residues or can we just 'plug things in' ?