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resoudre-I-0-pi-2-tan-nx-tan-n-x-dx-




Question Number 144939 by yoba last updated on 30/Jun/21
  resoudre  I=∫_0 ^(π/2) tan(nx)tan^n (x)dx
$$ \\ $$$$\boldsymbol{\mathrm{resoudre}} \\ $$$$\boldsymbol{\mathrm{I}}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{tan}}\left(\boldsymbol{\mathrm{nx}}\right)\boldsymbol{\mathrm{tan}}^{\boldsymbol{\mathrm{n}}} \left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}} \\ $$

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