The question:

Find the integral of $\displaystyle \int^9_4{\frac{x^3 - x}{x^{\frac{3}{2}}}}$

I'm not sure where to start. My first thought was to split it into two integrals like so:

$\displaystyle \int^9_4(x^3 - x) \int^9_4{\frac{1}{x^{\frac{3}{2}}}}$

But from what I can tell, you cannot split an integral like that. Any ideas? Thanks.