Find the Average Value of the Function on the Given $h(x)=7 e^{\sin x} \cos x,\left[0, \frac{\pi}{2}\right]$

Multiple Choice

Find the average value of the function on the given interval. $h(x) =7 e^{\sin x} \cos x,\left[0, \frac{\pi}{2}\right]$

A) $14 e^{3}-1$
B) $16(e-1)$
C) $13 \pi\left(e^{3}-1\right)$
D) $\frac{15}{\pi}(e-1)$
E) $\frac{14}{\pi}(e-1)$