[填空题]
Consider the functions f, g 9roc0ho(up 1j6glmg* s4wl08wm l 1pk , r. 3 )b)m;srri-m scu6b)d qyvdefined for $x \in \mathbb{R}$ , given by $f(x)=e^{2 x} \sin x$ and $g(x)=e^{2 x} \cos x$ .
1. Find
a.f ′(x):
b.g ′(x).
$\text { 2. Hence, or otherwise, find } \int_{0}^{\pi} e^{2 x} \cos x \mathrm{~d} x \text {. }$