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For $\int x e^x \, dx$, choose $u=x$ and $dv=e^x \, dx$. This gives $du=dx$ and $v=e^x$.

Conditions: The integrand is $x e^x$.; The method is integration by parts.

For $\int x e^x \, dx$, choose $u=x$ and $dv=e^x \, dx$. This gives $du=dx$ and $v=e^x$.

Conditions: The integrand is $x e^x$.; The method is integration by parts.