OCR FP2 2007 June — Question 3

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2007
SessionJune
TopicIntegration with Partial Fractions
3 It is given that \(\mathrm { f } ( x ) = \frac { x ^ { 2 } + 9 x } { ( x - 1 ) \left( x ^ { 2 } + 9 \right) }\).
  1. Express \(\mathrm { f } ( x )\) in partial fractions.
  2. Hence find \(\int f ( x ) \mathrm { d } x\).
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