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Integrating Ratio Of Sines?

Calculus Level 3

Let \(n\) be a positive integer, find the value of \[ \int_0^\pi \dfrac{\sin^2 nx}{\sin^2 x}\, dx.\]

\[\dfrac{n\pi}4\] \[\dfrac{n\pi}2\] \[n\pi\] \[2n\pi\]

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by Kishore S Shenoy

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