AQA C3 2010 January — Question 8

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2010
SessionJanuary
TopicIntegration by Parts

8
  1. Using integration by parts, find \(\int x \sin ( 2 x - 1 ) \mathrm { d } x\).
  2. Use the substitution \(u = 2 x - 1\) to find \(\int \frac { x ^ { 2 } } { 2 x - 1 } \mathrm {~d} x\), giving your answer in terms of \(x\).
    (6 marks)