I_2 =∫_0 ^∞ (((tan^(−1) x)/x))^2 dx=?? I_3 =∫_0 ^∞ (((tan^(−1) x)/x))^3 dx=??? I_4 =∫


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Question Number 182291 by Frix last updated on 07/Dec/22

$I_{2} = \underset{0}{\int^{\infty}} {(\frac{\tan^{- 1} x}{x})}^{2} d x = ? ?$ $I_{3} = \underset{0}{\int^{\infty}} {(\frac{\tan^{- 1} x}{x})}^{3} d x = ? ? ?$ $I_{4} = \underset{0}{\int^{\infty}} {(\frac{\tan^{- 1} x}{x})}^{4} d x = ? ? ? ?$
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