Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram illustrates the curve given by $y = 10x^{\frac{1}{2}} - \frac{5}{2}x^{\frac{3}{2}}$ for $x > 0$. The curve crosses the $x$-axis at the points $(0, 0)$ and $(4, 0)$.
(main)[4]

Determine the area of the shaded region.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct antiderivative for $10x^{\frac{1}{2}}-\frac{5}{2}x^{\frac{3}{2}}$

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