Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram shows the curves with equations $y = 2(2x - 3)^4$ and $y = (2x - 3)^2 + 1$, intersecting at points $A$ and $B$.

(a)[4]

Using the substitution $u = 2x - 3$, find, by calculation, the coordinates of $A$ and $B$.

(b)[5]

Find the exact area covered by the shaded region.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set $u=2x-3$ and obtain a quartic equation” …