Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[4]

Determine $\int (2\cos \theta - 3)(\cos \theta + 1) \, d\theta$.

(b(i))[2]

Determine $\int \left( \frac{4}{2x+1} + \frac{1}{2x} \right) \, dx$.

(b(ii))[3]

Hence determine $\int_{1}^{4} \left( \frac{4}{2x+1} + \frac{1}{2x} \right) \, dx$, giving your answer in the form $\ln k$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Show $\int (2\cos^2\theta - \cos\theta - 3)\, d\theta$

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