Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram illustrates the curve given by $y = 6e^{2x} - e^{3x}$. The shaded area lies between the axes and the curve.

(a)[3]

Find the exact $x$-coordinate corresponding to the maximum point.

(b)[4]

Find the area of the shaded region. Write your answer as $\frac{p}{q}$, with $p$ and $q$ integers.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $12e^{2x}-3e^{3x}$” …