Question 1

Paper 1, no calculatorEasy6 marks

The rational function

R(x)=3x−1(x−3)(x+1)R(x)=\frac{3x-1}{(x-3)(x+1)}

is used as an integrand.

(a)

State the real values of xx for which R(x)R(x) is undefined.

[1]
(b)

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

[3]
(c)

Hence determine an antiderivative of R(x)R(x)

[2]

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