2026 CCHY P1 Q7

2026 CCHY P1 Q7

Secondary 4
9 marks
  1. Express \(\dfrac{6x^2-3x+4}{(x-3)(2x+1)^2}\) in partial fractions.[5]
  2. Hence show that \(\displaystyle\int_4^{12}\dfrac{6x^2-3x+4}{(x-3)(2x+1)^2}\,\mathrm{d}x=a+\ln b\), where \(a\) and \(b\) are rational numbers.[4]

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Answer:(a) \(\dfrac1{x-3}+\dfrac1{2x+1}-\dfrac2{(2x+1)^2}\). (b) \(-\dfrac{16}{225}+\ln15\).

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