Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(i)[2]

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

(ii)[3]

Without using a calculator, find the exact value of the integral $\int_{0}^{\frac{1}{2}\pi} (4\cos 2x + 6\sin 3x) \, dx$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Express the integrand as $\sec^2 4x - 1$

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