Evaluate the following integrations: $($Total $25$ points$)$

$2152-1$dt$$

$($b$)$ J$2,8(2++)($t& $+1)$dt;

$($e$)$ J$-0$

$($e$)$ J$\_,8(2$t$)($t$\}-1)$dt $[$Hint: Try to change variable using u $=2$t$.]$