Using the substitution u$=$sec$^(-1)(($x$)/(3)),$ we obtain

$\backslash$int $($x$^(2))/(\backslash$sqrt$($x$^(2)-9))$dx$=\backslash$int Ksec$^($m$)$udu

where the constants K$=$

and m$=$

Using this result and your knowledge about indefinite integrals of powers of secu$,$ find the indefinite integral

$\backslash$int $($x$^(2))/(\backslash$sqrt$($x$^(2)-9))$dx$=,+$C

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