Evaluate the indefinite integral $(24+3+1)(2$x$4+3$x$+1)$dx$.$

Select one:

a$.$

$255+2333/2+25$x$5+233$x$3/2+$x

b$.$

$255+12(3)3/2++25$x$5+12(3$x$)3/2+$x$+$C

c$.$

$255+2333/2++25$x$5+233$x$3/2+$x$+$C

d$.$

$124+2333/2++$