Find the value of \(\int_{0}^{\frac{\pi}{2}} cos^{11}(x).sin^9(x)\, dx\).

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Integral Calculus topics include: integral reduction formula, improper integrals, quadrature, rectification, surface area and volume of solid, polar and parametric forms rectification.
 


Find the value of \(\int_{0}^{\frac{\pi}{2}} cos^{11}(x).sin^9(x)\, dx\).