Integral Calculus (id: 475fcbe4f)

本题目来源于试卷: Integral Calculus，类别为 IB数学

[填空题]
Consider the functiooy yz3g6 5g2v9e :eaykns f,p):ob 9w bnk(i g , defined 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).   

$\text { 2. Hence, or otherwise, find } \int_{0}^{\pi} e^{2 x} \cos x \mathrm{~d} x \text {. }$   

参考答案:
空格1: 2e^(2*x)sin(x)+e^(2*x)cos(x)  空格2: 2e^(2*x)cos(x)+e^(2*x)sin(x)  空格3: -2/5(e^(6.28)+1) 


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