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find-A-n-0-pi-4-tan-n-t-dt-with-n-integer-natural-




Question Number 42445 by maxmathsup by imad last updated on 25/Aug/18
find A_n = ∫_0 ^(π/4)   tan^n t dt   with n integer natural .
$${find}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:{tan}^{{n}} {t}\:{dt}\:\:\:{with}\:{n}\:{integer}\:{natural}\:. \\ $$

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