Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve is described by the equation $y = f(x)$. It is known that $f'(x) = x^{-\frac{3}{2}} + 1$ and that $f(4) = 5$.
(main)[4]

Find the expression for $f(x)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out integration of $2x^{\frac{1}{2}}$ or the $+x$ term

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