Question $10$

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

$\frac{2}{5}(x^{2}1{)}^{\frac{8}{2}}C$

$\frac{\sqrt[\phantom{2}]{2^3}}{3}$

$\frac{2\sqrt[\phantom{2}]{2}-1}{3}$

$\frac{3\sqrt[\phantom{2}]{3}-1}{2}$