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explicit-A-1-ln-lnx-x-2-2xcos-1-dx-with-pi-lt-lt-pi-




Question Number 98249 by mathmax by abdo last updated on 12/Jun/20
explicit A(θ) =∫_1 ^(+∞)  ((ln(lnx))/(x^2  +2xcosθ +1))dx   with −π<θ<π
$$\mathrm{explicit}\:\mathrm{A}\left(\theta\right)\:=\int_{\mathrm{1}} ^{+\infty} \:\frac{\mathrm{ln}\left(\mathrm{lnx}\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{2xcos}\theta\:+\mathrm{1}}\mathrm{dx}\:\:\:\mathrm{with}\:−\pi<\theta<\pi \\ $$

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