Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve is given by $\frac{dy}{dx} = \frac{4}{(x - 3)^3}$ for $x > 3$, and it passes through $(4, 5)$.
(main)[3]

Find the equation for the curve.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: An accurate integrated form is $y=\frac{4}{-2}(x-3)^{-3+1}$ or $\frac{4}{-2(x-3)^2}+c$

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