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Integralshard
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Evaluate the integral I=∫0π/2sin⁡n(x)cos⁡m(x)dxI = \int_0^{\pi/2} \sin^n(x) \cos^m(x) dxI=∫0π/2​sinn(x)cosm(x)dx for n=3,m=3n=3, m=3n=3,m=3.