Mathematics

Mathematics

Problem

Evaluate ∫0πx2sin⁡2x⋅sin⁡(π2cos⁡x)dx(2x−π)\int_{0}^{\pi} \frac{x^2 \sin 2x \cdot \sin \left( \frac{\pi}{2} \cos x \right) dx}{(2x - \pi)} .

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