Evaluate the indefinite integral$(323+2+1+23+2+1)(3$t$2$t$3+$t$2+1+2$tt$3+$t$2+1)$dt$.$

Select one:

a$.$

$23(3+2+1)3/2+23($t$3+$t$2+1)3/2+$C

b$.$

$23(3+2+1)3/2+23($t$3+$t$2+1)3/2+$C

c$.$

$239/2+236/2+1+23$t$9/2+23$t$6/2+1+$C

d$.$

None of the above