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With full working shown, determine the value of $\int_{0}^{\frac{1}{6}\pi} x\cos 3x \, dx$, expressing your answer in terms of $\pi$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use integration by parts and arrive at $a x \sin 3x + b \int \sin 3x\,dx$” …
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