0606 P12 - Nov 2018 - Q6 - 6 marks
8496
(i) Find \(\dfrac{d}{dx}(5x^2-125)^{2/3}\).
(ii) Using your answer to part (i), find \(\displaystyle\int x(5x^2-125)^{-1/3}\,dx\).
(iii) Hence find \(\displaystyle\int_6^{10}x(5x^2-125)^{-1/3}\,dx\).
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