OCR C4 2006 June — Question 3

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2006
SessionJune
TopicPartial Fractions
TypePartial fractions with linear factors only

3
  1. Express \(\frac { 3 - 2 x } { x ( 3 - x ) }\) in partial fractions.
  2. Show that \(\int _ { 1 } ^ { 2 } \frac { 3 - 2 x } { x ( 3 - x ) } \mathrm { d } x = 0\).
  3. What does the result of part (ii) indicate about the graph of \(y = \frac { 3 - 2 x } { x ( 3 - x ) }\) between \(x = 1\) and \(x = 2\) ?