Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the integral $\int_{0}^{\,1/2} {\sin(e^{t/2})}\, dt$ with $n = 8$. Give each answer correct to six decimal places.

$T_{8} =$

$M_{8} =$

$S_{8} =$