Evaluate the integral.

${\displaystyle \underset{\sqrt[\phantom{2}]{2}}{\overset{1}{}}}(\frac{u^7}{6}-\frac{1}{u^5})du$

${\displaystyle \underset{\sqrt[\phantom{2}]{2}}{\overset{1}{}}}(\frac{u^7}{6}-\frac{1}{u^5})du=$

$($Simplify your answer.$)$