0606 P13 - Jun 2021 - Q2 - 8 marks
7962
(a) Find
\(\frac{d}{dx}\left(x^2e^{3x}\right).\)
(b)
(i) Find
\(\frac{d}{dx}(3x^2+4)^{\frac13}.\)
(ii) Hence find
\(\int_0^2 x(3x^2+4)^{-\frac23}\,dx.\)
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