(i)[4]
Find the exact value of the $x$-coordinate of $M$.
(ii)[4]
Find the exact value of the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays part of the curve $y = 2\cos x - \cos 2x$ together with its maximum point $M$. The shaded area is enclosed by the curve, the axes and the line through $M$ that is parallel to the $y$-axis.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $-2\sin x+2\sin 2x$ or an equivalent expression” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI