AQA FP3 2015 June — Question 4

Exam BoardAQA
ModuleFP3 (Further Pure Mathematics 3)
Year2015
SessionJune
TopicIntegration with Partial Fractions
4
  1. Explain why \(\int _ { 2 } ^ { \infty } ( x - 2 ) \mathrm { e } ^ { - 2 x } \mathrm {~d} x\) is an improper integral.
  2. Evaluate \(\int _ { 2 } ^ { \infty } ( x - 2 ) \mathrm { e } ^ { - 2 x } \mathrm {~d} x\), showing the limiting process used.
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Q1 3 Q2 9 Q3 Q4 Q5 3 Q6 Q7