From 0 to \(\pi\)

Calculus Level pending

If the integral of \(x^{2}\) \(cos^{2} x \) with respect to \(x\) from \(0\) to \(\pi \) can be expressed as \(\frac{{\pi}^{a}}{b} \)+ \(\frac{\pi}{c} \) where a, b and c are positive integers, then \(abc=?\)

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