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Answers for “为什么选择 $u=x$ 而不是 $u=e^x$？”

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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.