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Question Number 123639 by benjo_mathlover last updated on 26/Nov/20

$$\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\sqrt{{\tan }^{-1}\left(x\right)}dx?$$

Answered by MJS_new last updated on 27/Nov/20

$$x\to +\mathrm{\infty }\Rightarrow \arctan x\to \frac{\pi }{2}\Rightarrow$$$$\mathrm{integral}{\mathrm{doesn}}^{\prime }\mathrm{t}\mathrm{converge}$$

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