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calculate-f-x-0-pi-4-ln-1-xtan-d-with-x-gt-0-




Question Number 75734 by mathmax by abdo last updated on 16/Dec/19
calculate f(x)=∫_0 ^(π/4) ln(1+xtanθ)dθ  with x >0
$${calculate}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left(\mathrm{1}+{xtan}\theta\right){d}\theta\:\:{with}\:{x}\:>\mathrm{0} \\ $$

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