Mathematics

Problem

A student plans to evaluate

\displaystyle \int x e^{x}\,dx

by first selecting one factor to differentiate repeatedly. Which of the following choices for that factor is most strategic because it eliminates the need for more than one repetition? a) Choose

u=e^{x}

b) Choose

u=xe^{x}

c) Choose

u=x

d) Choose

u=1

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