$[\frac{1}{1}$ Points$]$

SCALCET$97\mathrm{.}4\mathrm{.}028.$

Evaluate the integral. $(Remember$ the constant $of$ integration.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^2+5x+1}{(x^2+1{)}^2}dx$

$ta{n}^{-1}(x)-\frac{5}{2x^2+2}+C$

Way $togo!$