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Find the expression for $f(x)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
For the curve given by $y = f(x)$, the derivative is $f'(x) = 2x^{-\frac{1}{3}} - x^{\frac{1}{3}}$. Also, $f(8) = 5$ is known.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integration gives $f(x)=\frac{2}{3}x^{3}-\frac{4}{3}x^{3}+c$ or an equivalent form” …
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