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0606 P22 - Mar 2018 - Q6 - 4 marks
8401

(i) Differentiate \(1+\tan\left(\dfrac{x}{3}\right)\) with respect to \(x\).

(ii) Hence find \(\displaystyle\int \operatorname{sec}^2\left(\dfrac{x}{3}\right)\,dx\).

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