Efficient Integration of x^3 / (x+1)^10: Tips & Tricks"

[O.J.]

1. Integrate x^3 / (x+1)^10



Tried substitution with u = x+1, or x+1 cubed, but no go

 

[cristo]

You could just write it as $$x^3(x+1)^{-10}$$ and integrate by parts a few times.

 

[neutrino]

Tried substitution with u = x+1, or x+1 cubed, but no go

If u = x+1, then x = u-1, isn't it?