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Show that $\int_0^{\pi} x^2 \sin x \, dx = \pi^2 - 4$.
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: “Carry out integration by parts to obtain $\pm x^2\cos x \pm \int 2x\cos x\,dx$” …
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