OCR MEI Paper 3 2019 June — Question 3

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2019
SessionJune
TopicPartial Fractions
TypePartial fractions with linear factors only

3
  1. Express \(\frac { 1 } { ( x + 2 ) ( x + 3 ) }\) in partial fractions.
  2. Find \(\int \frac { 1 } { ( x + 2 ) ( x + 3 ) } \mathrm { d } x\) in the form \(\ln ( \mathrm { f } ( x ) ) + c\), where \(c\) is the constant of integration and \(\mathrm { f } ( x )\) is a function to be determined.