using the substitution

I started by stating that (product rule) and subbing so get the equation:

Simplifying to get:

Then found my integrating factor which was and multiplied, leaving me with:

Firstly, am I right so far?

Secondly, if I am, I need help integrating with respect to x, having the 2 unknowns is giving me second thoughts about integration by parts so I'm not entirely sure what to do.