CAIE P3 2020 November — Question 9

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2020
SessionNovember
TopicIntegration with Partial Fractions
9 Let \(\mathrm { f } ( x ) = \frac { 7 x + 18 } { ( 3 x + 2 ) \left( x ^ { 2 } + 4 \right) }\).
  1. Express \(\mathrm { f } ( x )\) in partial fractions.
  2. Hence find the exact value of \(\int _ { 0 } ^ { 2 } \mathrm { f } ( x ) \mathrm { d } x\).
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