2026 CVSS P1 Q11

2026 CVSS P1 Q11

Secondary 4
5 marks
  1. Show that \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left(e^{3x}\sqrt x\right)=\dfrac{e^{3x}(6x+1)}{2\sqrt x}\).[3]
  2. Hence find \(\displaystyle\int\left(\dfrac{24xe^{3x}}{\sqrt x}+\dfrac{4e^{3x}}{\sqrt x}\right)\,\mathrm{d}x\).[2]

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Answer:(a) Shown. (b) \(8e^{3x}\sqrt x+C\).

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