AQA C4 2010 January — Question 4

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2010
SessionJanuary
TopicPartial Fractions
TypePartial fractions with algebraic division first

4 The expression \(\frac { 10 x ^ { 2 } + 8 } { ( x + 1 ) ( 5 x - 1 ) }\) can be written in the form \(2 + \frac { A } { x + 1 } + \frac { B } { 5 x - 1 }\), where \(A\) and \(B\) are constants.
  1. Find the values of \(A\) and \(B\).
  2. Hence find \(\int \frac { 10 x ^ { 2 } + 8 } { ( x + 1 ) ( 5 x - 1 ) } \mathrm { d } x\).