AQA C3 2006 June — Question 2

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2006
SessionJune
TopicIntegration by Substitution

2
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = ( 3 x - 1 ) ^ { 10 }\).
  2. Use the substitution \(u = 2 x + 1\) to find \(\int x ( 2 x + 1 ) ^ { 8 } \mathrm {~d} x\), giving your answer in terms of \(x\).