(a(i))[5]
Using the substitution $u = \sin x$, determine the exact area of the shaded region enclosed by the curve and the axes.
(a(ii))[6]
Determine the $x$-coordinate of $M$, with your answer correct to $3$ decimal places.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the curve $y = e^{2\sin x}\cos x$ for $0 \leq x \leq \frac{1}{2}\pi$, together with its highest point $M$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replace $x$ and $dx$ by using $u=\sin x$ and $du=\cos x\,dx$, or a valid equivalent” …
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