Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve is defined by the equation $y = f(x)$, where $f(x) = \frac{4x^3 + 8x - 4}{2x - 1}$.
(a)[5]

Determine an expression for $\frac{dy}{dx}$ and therefore find the coordinates of all the stationary points on the curve $y = f(x)$.

(b)[5]

Perform division of $4x^3 + 8x - 4$ by $(2x - 1)$, and hence determine $\int f(x)\,dx$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate by using the quotient rule (or the product rule)

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