A student plans to evaluate by first selecting one factor to differentiate repeatedly

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

A student plans to evaluate ∫xex dx\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=exu=e^{x} (b) Choose u=xexu=xe^{x} (c) Choose u=xu=x (d) Choose u=1u=1

Related theory

Browse the problem library