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calculate-W-n-0-pi-2-cos-n-xdx-n-from-N-and-J-n-0-pi-2-sin-n-xdx-




Question Number 62413 by mathmax by abdo last updated on 20/Jun/19
calculate  W_n = ∫_0 ^(π/2)  cos^n xdx   ( n from N) and J_n =∫_0 ^(π/2)  sin^n xdx
$${calculate}\:\:{W}_{{n}} =\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{cos}^{{n}} {xdx}\:\:\:\left(\:{n}\:{from}\:{N}\right)\:{and}\:{J}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{sin}^{{n}} {xdx} \\ $$

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