Consider . Suppose the evaluation method repeatedly differentiates the polynomial…
MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration
Problem
Consider ∫x2exdx. Suppose the evaluation method repeatedly differentiates the polynomial factor until it becomes a constant while integrating the other factor at each step. What is the minimum number of repetitions of this cycle required to reach an integrand with no polynomial factor remaining?
(a) Three repetitions
(b) Two repetitions
(c) One repetition
(d) Four repetitions