Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve passes through the point with coordinates $\left(\frac{1}{2}\pi, 5\right)$, and it satisfies $\frac{dy}{dx} = 4\sec^2\left(\frac{1}{2}x\right)$.
(main)[3]

Determine the equation of the curve.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate to obtain the form $y=k\tan(\tfrac{1}{2}x)$” …

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