Question 1

Paper 1, no calculatorEasy6 marks

Let

R(x)=3x−2(x−4)(x+1).R(x)=\frac{3x-2}{(x-4)(x+1)}.
(a)

Express R(x)R(x) in partial fractions.

[3]
(b)

Hence determine the exact value of

∫01R(x) dx.\int_0^1 R(x)\,dx.
[3]

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