AQA FP3 2012 June — Question 5

Exam BoardAQA
ModuleFP3 (Further Pure Mathematics 3)
Year2012
SessionJune
TopicIntegration by Parts
5
  1. Find \(\int x ^ { 2 } \mathrm { e } ^ { - x } \mathrm {~d} x\).
  2. Hence evaluate \(\int _ { 0 } ^ { \infty } x ^ { 2 } \mathrm { e } ^ { - x } \mathrm {~d} x\), showing the limiting process used.
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