Linear factor with a square root

Linear factor with a square root

Secondary 4
6 marks
Original parallel to supplied A Math integration references
  1. Show that \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left[(3x-1)\sqrt{x+2}\right]=\dfrac{9x+11}{2\sqrt{x+2}}\).[3]
  2. Hence evaluate \(\displaystyle\int_{-1}^{2}\dfrac{9x+11}{2\sqrt{x+2}}\,\mathrm{d}x\).[3]

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Answer:\(14\)

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