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Integralsmedium
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Evaluate ∫0π/2cos⁡5(x)sin⁡(x)dx\int_{0}^{\pi/2} \cos^5(x) \sin(x) dx∫0π/2​cos5(x)sin(x)dx using the substitution u=cos⁡(x)u = \cos(x)u=cos(x).