Mathematics 9709 · AS & A Level · Integration

Integration — practice question

A curve is defined by $\frac{dy}{dx} = 12(2x - 5)^2 + 8x$. The curve is known to pass through $(2, 4)$.
(main)[4]

Find a formula for the curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct antiderivative is found, for example $y=\frac{12}{3\times2}(2x-5)^3+\frac{8}{2}x^2+c$

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