(A Math) 2025 CCHY PRELIMS P1 Q11

(A Math) 2025 CCHY PRELIMS P1 Q11

Secondary 4

7 marks

Express \(\frac{11x+12}{x^2(x+4)}\) in partial fractions.[5]
Hence find \(\int \frac{11x+12}{x^2(x+4)}\, dx\).[2]

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Answer:(i) \(\dfrac2x+\dfrac3{x^2}-\dfrac2{x+4}\) (ii) \(2\ln|x|-\dfrac3x-2\ln|x+4|+C\)

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