Antiderivative (sin x)(ln x)

I was asked for help on finding the anti derivative of sin x multiplied by ln x. I have tried a few things doing it by parts and end up with the antiderivative of sin x / x in the answer, which isn't possible if it isn't on an interval, the other way seemed to get more complicated instead of simpler so I didn't think that worked.

I can't think of a simple substitution that would work, trig has never been a strong suit of mine, so I'm wondering what I'm missing, wanting to know how to do the problem if its possible.

Thanks in advance.