Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The function $f$ satisfies $f'(x) = 5 - 2x^2$, and the point $(3, 5)$ lies on the graph of $y = f(x)$.
(main)[3]

Determine $f(x)$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substitutes the point $(3,5)$ into the integral expression to determine the constant $c$

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