Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[2]

Show that the value of $\int_0^{\pi} \cos 2x \, dx$ is $\frac{1}{2}$.

(b)[4]

Using a suitable trigonometric identity, find the exact value of $\int_{\frac{\pi}{6}}^{\frac{5\pi}{6}} 3\tan^2 x \, dx$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtain an integral $a\sin 2x$ for $a=\pm1,\ 2$ or $\tfrac12$

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