AQA C2 2009 June — Question 2

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicIndefinite & Definite Integrals
2
  1. Write down the value of \(n\) given that \(\frac { 1 } { x ^ { 4 } } = x ^ { n }\).
  2. Expand \(\left( 1 + \frac { 3 } { x ^ { 2 } } \right) ^ { 2 }\).
  3. Hence find \(\int \left( 1 + \frac { 3 } { x ^ { 2 } } \right) ^ { 2 } \mathrm {~d} x\).
  4. Hence find the exact value of \(\int _ { 1 } ^ { 3 } \left( 1 + \frac { 3 } { x ^ { 2 } } \right) ^ { 2 } \mathrm {~d} x\).
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