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Question Number 56937 by maxmathsup by imad last updated on 27/Mar/19
1. calculate  f(x) =∫_0 ^(π/4)  ln(1+xtanθ)dθ  2.  calculate ∫_0 ^1 f(x)dx
$$\mathrm{1}.\:{calculate}\:\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{ln}\left(\mathrm{1}+{xtan}\theta\right){d}\theta \\ $$$$\mathrm{2}.\:\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx} \\ $$

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