Find the exact value of \(\displaystyle\displaystyle\int\limits_{-1}^{\sqrt{2}}{\left| \left( x+2 \r

Question

Find the exact value of $\displaystyle\displaystyle\int\limits_{-1}^{\sqrt{2}}{\left| \left( x+2 \right)\left( 1-2x \right) \right|\mathrm{ d}x}$. Give your answer in the form $m+n\sqrt{2}$, where $m$ and $n$ are rational numbers to be determined. [3]

Accepted Answer

(a) $\dfrac{83}{12}-\dfrac23\sqrt2$

2018 DHS Promo Q1

2018 DHS Promo Q1

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