$$\displaystyle\int{ \frac{ { x }^{ 5 } }{ { x }^{ 2 } +1 } }d x$$
$\frac{\ln(x^{2}+1)}{2}+\frac{x^{4}}{4}-\frac{x^{2}}{2}+С$
$\frac{x^{5}}{x^{2}+1}$
