Integrating $\int\frac{5x^4+4x^5}{(x^5+x+1)^2}dx $ In the following integral:
$$I = \int\frac{5x^4+4x^5}{(x^5+x+1)^2}dx $$
I thought of making partial fractions , then solve it . 
But I am not able to make partial fractions.

Set $x=1/y$
$$I=-\int\dfrac{5y^4+4y^3}{(1+y^4+y^5)^2} dy$$
Set $1+y^4+y^5=u$
