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0-tan-1-ln-sin-x-x-dx-




Question Number 221955 by Nicholas666 last updated on 13/Jun/25
              ∫_0 ^∞  tan^(−1) (((ln(sin (x))/x)) dx
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \:\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{ln}\left(\mathrm{sin}\:\left({x}\right)\right.}{{x}}\right)\:\mathrm{d}{x} \\ $$$$ \\ $$

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