Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The graph of the equation $y = f(x)$ goes through the point $A\,(3,1)$ and intersects the $y$-axis at $B$.
(main)[6]

Since $f'(x) = (3x - 1)^{-\frac{1}{3}}$ is given, determine the $y$-coordinate of $B$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate integration to give $\frac{1}{2}(3x-1)^{2/3}+c$” …

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