Could you help me with this?

Integrate x / (x+1)^3 from a=1 to b=4.

I don't think that substitution works here, so my idea was to approach this using integration by parts.

I tried solving it with u=(x+1)^-3 and dv = x, but that didn't work out because I ended up with something that I couldn't integrate.

Should u=x and dv=(x+1)^-3?

Then du=1 and v = ???

What's the correct method to use to solve this and what steps do I follow?