Using the substitution u$=$sin$1($x$2),$ we obtain

$$x$24$x$2$dx$=$Ksinm$($u$)$cosn$($u$)$du

where the constants K$=,$ m$=$ and n$=.$Using this result and your knowledge about indefinite integrals of powers of sin$($u$)$ and cos$($u$),$ compute the indefinite integral

$$x$24$x$2$dx

Answer: $+$C

Note: Your answer should be in terms of x$,$ not u$.$