Integration with partial fractions

Express a rational function in partial fractions, then integrate to find area or evaluate a definite integral.

1 questions · Moderate -0.3

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OCR Stats 1 2017 Specimen Q4
7 marks Moderate -0.3
4
  1. Express \(\frac { 1 } { ( x - 1 ) ( x + 2 ) }\) in partial fractions
  2. In this question you must show detailed reasoning. Hence find \(\int _ { 2 } ^ { 3 } \frac { 1 } { ( x - 1 ) ( x + 2 ) } \mathrm { d } x\).
    Give your answer in its simplest form.