Consider the problem

${\displaystyle \underset{0}{\overset{1}{}}}x\sqrt[\phantom{2}]{1-x^2}dx$

Using U$-$Substitution, fill in the following information

$du=dx$

Write your answer to the definite integration

as a reduced fraction $($EXAMPLE $2/5)$

${\displaystyle \underset{0}{\overset{1}{}}}x\sqrt[\phantom{2}]{1-x^2}dx=$

$$