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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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