AQA FP2 2007 June — Question 4

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2007
SessionJune
TopicIntegration by Parts
4
  1. Differentiate \(x \tan ^ { - 1 } x\) with respect to \(x\).
  2. Show that $$\int _ { 0 } ^ { 1 } \tan ^ { - 1 } x \mathrm {~d} x = \frac { \pi } { 4 } - \ln \sqrt { 2 }$$ (5 marks)
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