Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The derivative of a curve is given by $\frac{dy}{dx} = \frac{1}{(x - 3)^2} + x$. The curve is known to pass through the point $(2, 7)$.

(main)[4]

Find the equation of this curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrating gives $y=-(x-3)^3+\tfrac12x^2+c$” …