Integrating a top heavy function How do you integrate this function?
$$\int\frac{x^3}{(x+5)^2}dx$$
I have tried it myself by substitution but I can't seem to get rid of the $x$s.

Long division:
$$
\begin{array}{cccccc}
& & x & - & 10 \\  \\
x^2+10x+25 & ) & x^3 \\
& & x^3 & + & 10x^2 & + & 25x \\  \\
& & & & -10x^2 & - & 25x \\
& & & & -10x^2 & - & 100x \\  \\
& & & & & & 75 x
\end{array}
$$
So we have
$$
\frac{x^3}{x^2+10x+25} = x - 10 + \frac{75x}{(x+5)^2} = x - 10 + \frac{A}{x-5} + \frac{B}{(x+5)^2}.
$$
