Compute the following indefinite integral:

(Use \(C\) for the constant of integration)

\[ \int \frac {5x^3+4\sqrt {x}}{2x^2} \d x \begin{prompt}=\answer { \frac {5}{4}x^2-\frac {4}{\sqrt {x}} +C }\end{prompt} \]

(Hint: Do preliminary algebra!)