Solve the inequality $\frac{2}{4{{\left( x+1 \right)}^{2}}+1}1$. [2] Hence find $\displaystyle\int_

Question

Solve the inequality $\frac{2}{4{{\left( x+1 \right)}^{2}}+1}>1$. [2] Hence find $\displaystyle\int_{-1}^{\frac{\sqrt{3}-2}{2}}{\left| 1-\frac{2}{4{{\left( x+1 \right)}^{2}}+1} \right|\,\mathrm{d}x}$, leaving your answer in exact form. [3]

Accepted Answer

$\frac{\pi}{6} + \frac{\sqrt{3}}{2} - 1$

2016 HCI P1 Q2

2016 HCI P1 Q2

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