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Determine the exact value of $\int_{0}^{\frac{1}{2}\pi} 6\sin\frac{1}{2}\theta\, d\theta$.
Mathematics 9709 · AS & A Level · Integration
Determine the exact value of $\int_{0}^{\frac{1}{2}\pi} 6\sin\frac{1}{2}\theta\, d\theta$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out integration by parts and arrive at $a\theta\cos\frac{1}{2}\theta+b\int\cos\frac{1}{2}\theta\,d\theta$” …