Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

Define $f(x) = 4\sin^2 3x$.
(a)[3]

Find $f'\left(\frac{1}{4}\pi\right)$.

(b)[3]

Find the indefinite integral $\int f(x)\, dx$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to produce a result in the form $k\sin3x\cos3x$ or $k\sin6x$

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