0606 P21 - Nov 2024 - Q2 - 4 marks
7240
(a) Given that \(y=\tan x-x\), find \(\frac{\mathrm{d} y}{\mathrm{~d} x}\). Write your answer in terms of \(\tan x\). (b) Hence find \(\int_{0}^{\frac{\pi}{4}} \tan ^{2} x \mathrm{~d} x\). Give your answer in exact form.
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