Evaluate the Integral $\int e^{t} \sqrt{25-e^{2 t}} d t$ A) $25 \arcsin \left(\frac{e^{t}}{5}\right)+\frac{1}{2} \sqrt{25-e^{2 t}}+C$

Multiple Choice

Evaluate the integral. $\int e^{t} \sqrt{25-e^{2 t}} d t$

A) $25 \arcsin \left(\frac{e^{t}}{5}\right) +\frac{1}{2} \sqrt{25-e^{2 t}}+C$
B) $\frac{25}{2} \arcsin \left(\frac{e^{2 t}}{5}\right) +\frac{1}{2} \sqrt{5-e^{2}}+C$
C) $\arcsin \left(\frac{e^{t}}{5}\right) +25 e^{t} \sqrt{25-e^{2 t}}+C$
D) $\arcsin \left(\frac{e^{t}}{5}\right) -\frac{1}{2} \sqrt{25-e^{2 t}}+C$
E) $\frac{25}{2}$ $\arcsin \left(\frac{e^{t}}{5}\right) +\frac{1}{2} e^{t} \sqrt{25-e^{2 t}}+C$