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Show that the integral $\int_{0}^{\frac{\pi}{4}} x^2 \cos 2x \, dx$ equals $\frac{1}{32}(\pi^2 - 8)$.
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: “Start the integration and arrive at $ax^2\sin 2x + b\int x\sin 2x\,dx$” …
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