Question
Find $\int x e^{x} d x$ 

Answer

Take first function as $x$ and second function as $e^x.$
The integral of the second function is $e^x$
Therefore, $\int x e^{x} d x=x e^{x}-\int 1 \cdot e^{x} d x=x e^{x}-e^{x}+C$ 

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