Mathematics 9709 · AS & A Level · Integration

Integration — practice question

On the diagram, sections of the graphs of $y = x + 2$ and $y = 3\sqrt{x}$ meet at points $A$ and $B$.
(i)[4]

State an equation that the $x$-coordinates of $A$ and $B$ satisfy. Solve it and hence determine the coordinates of $A$ and $B$.

(ii)[6]

Find the area of the shaded region by integration.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate substitution that produces an equation in $x$ or $k$.

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