Evaluate the integral.

$$x$2$e$2$xdx

Group of answer choices

$12$x$2$e$2$x$14$xe$2$x$+14$e$2$x$+$C

$12$x$2$e$2$x$12$xe$2$x$+$C

$12$x$2$e$2$x$$xe$2$x$+14$e$2$x$+$C

$12$x$2$e$2$x$12$xe$2$x$+14$e$2$x$+$C

$$