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Determine the exact area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram plots the curves $y = \sqrt{2\pi - 2x}$ and $y = \sin^2 x$ over $0 \leq x \leq \pi$. The shaded area is enclosed by the two curves and the line $x = 0$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate $\sqrt{2\pi-2x}$ to produce the form $k_1(2\pi-2x)^{\frac{3}{2}}$” …
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