0606 P11 - Nov 2018 - Q8 - 8 marks
8487
(i) Find \(\dfrac{d}{dx}(5x^2+4)^{3/2}\).
(ii) Hence find \(\displaystyle\int x(5x^2+4)^{1/2}\,dx\).
Given that \(\displaystyle\int_0^a x(5x^2+4)^{1/2}\,dx=\dfrac{19}{15}\),
(iii) find the value of the positive constant \(a\).
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