9709 P12 - Jun 2023 - Q5
1304
The diagram shows the curve with equation \(y = 10x^{\frac{1}{2}} - \frac{5}{2}x^{\frac{3}{2}}\) for \(x > 0\). The curve meets the x-axis at the points \((0, 0)\) and \((4, 0)\).
Find the area of the shaded region.
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