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Find the exact value for $\int_{\frac{\pi}{3}}^{\pi} x \sin \frac{1}{2}x\, dx$.
Mathematics 9709 · AS & A Level · Integration
Find the exact value for $\int_{\frac{\pi}{3}}^{\pi} x \sin \frac{1}{2}x\, dx$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Begin the integration and arrive at $ax\cos\frac{1}{2}x+b\cos\frac{1}{2}x$” …