Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[3]

Find the value of $\int (4 + \tan^2 2x) \, dx$.

(b)[5]

Find the exact value of $\int_{-\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\sin\!\left(x + \frac{\pi}{6}\right)}{\sin x} \, dx$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the identity $\tan^2 2x = \sec^2 2x - 1$

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