Random Questions from 2016 Prelims #9

HCI P1 Q2

Solve the inequality \frac{2}{4(x+1)^2+1} > 1

Hence find \int_{-1}^{\frac{\sqrt{3}-2}{2}} |1 - \frac{2}{4(x+1)^2+1}| dx, leaving your answer in exact form.

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