Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts parts of the graphs of $y = 3 - 2x$ and $y = 4 - 3\sqrt{x}$ meeting at points $A$ and $B$.

(i)[3]

Find by calculation the $x$-coordinates of $A$ and $B$.

(ii)[5]

Find the area of the shaded region, showing all necessary working.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Writes a quadratic in $\sqrt{x}$ or $x$” …