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Find the exact value of $\int_{0}^{\frac{1}{2}\pi} x^2 \sin 2x \, dx$.
Mathematics 9709 · AS & A Level · Integration
Find the exact value of $\int_{0}^{\frac{1}{2}\pi} x^2 \sin 2x \, dx$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate by parts to arrive at $ax^2\cos 2x + b \int x \cos 2x\,dx$.” …