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\int\left(xe^x\right)dx

Integral of xe^x

Answer

$-e^x+e^x\cdot x+C_0$

Step-by-step explanation

Problem

$\int\left(xe^x\right)dx$
1

Solve the integral $\int e^x\cdot xdx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=e^x \\ du=udx\end{matrix}$

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Answer

$-e^x+e^x\cdot x+C_0$