CAPE Pure Mathematics Unit 2 · May/June 2019 · Paper 1 · Question Q13
Given that a, b, c and k are constants, then \int \frac{3}{x^2(x - 1)}\,dx can be expressed as
- (A)
\frac{a}{x} + b\ln|x - 1| + k - (B)
a\ln|x| + b\ln|x - 1| + k - (C)
a\ln|x| + \frac{b}{x} + \frac{c}{x - 1} + k - (D)
a\ln|x| + \frac{b}{x} + c\ln|x - 1| + k
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