Evaluate the indefinite integral.
5v+4v2+1dv\displaystyle \int{\frac{{{5}{v}+{4}}}{{{v}^{{2}}+{1}}}}{d}{v} =
 

Hint: Rewrite as 2 fractions: A+BC=AC+BC\displaystyle \frac{{{A}+{B}}}{{C}}=\frac{{A}}{{C}}+\frac{{B}}{{C}}.
You may need different u-substitutions for each fraction.