Mathematics 9709 · AS & A Level · Integration

Integration — practice question

A curve is defined by \[ \frac{dy}{dx} = \frac{8}{(3x+2)^2}. \] It passes through the point $(2, 5\tfrac{2}{3})$.
(main)[4]

Find the equation that describes the curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the integration correctly so that $y=-\dfrac{8}{3(3x+2)}+c$.

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