(a)[5]
Determine the value of $a$ correct to $2$ decimal places.
(b)[6]
Use the substitution $u = 2 + \cos x$ to determine the exact area of the shaded region $R$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = 2\sin x\sqrt{2 + \cos x}$, for $0 \leq x \leq 2\pi$, together with its minimum point $M$, where $x = a$.