OCR Further Pure Core 2 2018 March — Question 8

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2018
SessionMarch
TopicIntegration with Partial Fractions

8 In this question you must show detailed reasoning.
Show that \(\int _ { 0 } ^ { 2 } \frac { 2 x ^ { 2 } + 3 x - 1 } { x ^ { 3 } - 3 x ^ { 2 } + 4 x - 12 } \mathrm {~d} x = \frac { 3 } { 8 } \pi - \ln 9\).