(a)[3]
Find the exact value of $a$ from the information given.
(b)[4]
Find the area of the shaded region shown.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the curve whose equation is $y = 3\sin x - 3\sin 2x$ for $0 \le x \le \pi$. This curve crosses the $x$-axis at the origin and again at the points whose $x$-coordinates are $a$ and $\pi$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the identity for $\sin 2x$ to try to determine the $x$-value from $3\sin x - 3\sin 2x = 0$” …
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