Answer
$$ \displaystyle\int \mathrm{e}^{2x}{\cdot}\cos\left(3x\right)\, \mathrm d x = {{e^{2\,x}\,\left(3\,\sin \left(3\,x\right)+2\,\cos \left(3\,x \right)\right)}\over{13}} $$
Explanation
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