AQA FP3 2013 January — Question 4

Exam BoardAQA
ModuleFP3 (Further Pure Mathematics 3)
Year2013
SessionJanuary
TopicIntegration with Partial Fractions

4
  1. Explain why \(\int _ { 0 } ^ { 1 } x ^ { 4 } \ln x \mathrm {~d} x\) is an improper integral.
    (l mark)
  2. Evaluate \(\int _ { 0 } ^ { 1 } x ^ { 4 } \ln x \mathrm {~d} x\), showing the limiting process used.
    (6 marks)