Evaluate the indefinite integral$(23+153)($t$23+1$t$53)$dt$.$

Select one:

a$.$

$355/3322/3+35$t$5/332$t$2/3+$C

b$.$

$355/3+322/3+35$t$5/3+32$t$2/3+$C

c$.$

$355/3+322/3+35$t$5/3+32$t$2/3+$C

d$.$

None of the above