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Specialist Maths — Question 13

QCAA 2022, Paper 1 · 6 marks

Q13 · 2022 · Technology-freeSimple familiar6 marks

QUESTION 13 (6 marks)

a)
Use partial fractions to determine ∫22(2x−3)(x+4) dx\displaystyle\int\frac{22}{(2x-3)(x+4)}\,dx.
[4 marks]
b)
Use the result from Question 13a) to determine ∫−3022(2x−3)(x+4) dx\displaystyle\int_{-3}^{0}\frac{22}{(2x-3)(x+4)}\,dx. Express your answer in simplest form.
[2 marks]
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