Integration - Integration of Power Functions

Integration - Integration of Power Functions

TGM Original Questions
  1. Find \(\displaystyle\displaystyle\int \sqrt{5x + 3} \mathrm{d}x\) .
  2. Hence evaluate \(\displaystyle\displaystyle\int_{0}^{2} \sqrt{5x + 3} \mathrm{d}x\) .

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Answer:(a) \(\dfrac{2}{15}(5x+3)^{3/2}+C\); (b) \(\dfrac{2}{15}(13\sqrt{13}-3\sqrt3)\)

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