Mathematics 9709 · AS & A Level · Integration

Integration — practice question

A curve is described by $y = \tan^{-1}(4x)$.
(a)[3]

Find the exact values of $x$ for which the gradient of the curve equals $\frac{1}{4}$.

(b)[5]

Find the exact value of $\int_{0}^{0.25} y\,dx$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to give an expression of the form $\frac{k}{1+Bx^2}$

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