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148

Part of 2006 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 148

Source: Keio University entrance exam/medical 1975

8/29/2006
Evaluate ∫0π2sin⁡2nθsin⁡2θ dθ (n=1, 2, ⋯ ).\int_{0}^{\frac{\pi}{2}}\frac{\sin^{2}n\theta}{\sin^{2}\theta}\ d\theta\ (n=1,\ 2,\ \cdots).
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