integration of x multiply underroot 1 (x*x)/1+(x*x)

integration of x multiply underroot 1 (x*x)/1+(x*x)
Integration of x multiply underroot 1-x-x-1-x-x

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Why is trigonometric substitution used for integral of 1/ (x^2+1) ^2? In my understanding we only apply it if the latter equation was in a square root. But here they take x=tan (

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Bengali] int(0)^(1)x.sqrt((1-x^(2))/(1+x^(2)))dx=(pi-2)/(4)

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