Mathematics 9709 · AS & A Level · Integration

Integration — practice question

For the curve $y = f(x)$, the derivative is $f'(x) = 6x^2 - \frac{8}{x^2}$. The curve is known to pass through $(2, 7)$.
(main)[3]

Find the function $f(x)$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly integrates to get $f(x)=2x^3+\frac{8}{x}+c$” …

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