(a)[2]
Show that $\int_0^{\frac{1}{4}\pi} \cos 2x\,dx = \frac{1}{2}$.
(b)[4]
By using a suitable trigonometric identity, find the exact value of $\int_{\frac{1}{6}\pi}^{\frac{1}{3}\pi} 3\tan^2 x\,dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
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