[填空题]
Consider the functions f, g , definea pk.-wklyq uz.2n5 i2d l*10dk4da9s5mfmzeb:hq9oacziud*8vt v,3 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. $f^{\prime}(x)$ ;
b. $g^{\prime}(x)$ .
2. Hence, or otherwise, find $\int_{0}^{\pi} e^{2 x} \cos x \mathrm{~d}$ x .
