evaluate

Let's evaluate the integral for the average value favef$\_\{\backslash$text$\{$ave$\}\}$ of the function f$($x$)=$x$2($x$3+4)2$f$($x$)=\backslash$frac$\{$x$^2\}\{($x$^3+4)^2\}$ on the interval $[1,1$