Evaluate:
$\int x e^{2 x} d x$

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Solution

$\int x e^{2 x} d x$
$= x . \frac{e^{2 x}}{2} - \int \frac{e^{2 x}}{2} d x$
$= x . \frac{e^{2 x}}{2} - \frac{1}{4} e^{2 x} + c$

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