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Calculate $\displaystyle \int_{\pi/6}^{3\pi/4} x\sec^2 x\,\mathrm{d}x$. Present your result in a fully simplified exact form.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use integration by parts to arrive at a form $x\tan x + b\int \tan x\,dx$” …
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