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0-pi-4-arctan-1-tan-2-x-2-dx-




Question Number 188470 by aleks041103 last updated on 01/Mar/23
∫_0 ^(π/4) arctan((√((1−tan^2 x)/2)))dx = ?
$$\underset{\mathrm{0}} {\overset{\pi/\mathrm{4}} {\int}}{arctan}\left(\sqrt{\frac{\mathrm{1}−{tan}^{\mathrm{2}} {x}}{\mathrm{2}}}\right){dx}\:=\:? \\ $$

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