If \\int{x^{2}+1}/{x^{4}+1} d x=f(x)+c, then f(x)= ______

Correct Answer is : 1√2Tan−1(x2−1√2x)

{1}/{\\sqrt{2} {\Tan}^{-1}({x^{2}+1}/{\\sqrt{2} x})

{1}/{\\sqrt{2} {\Tan}^{-1}({x^{2}-1}/{\\sqrt{2} x})

{1}/{\\sqrt{2} {\Tan}^{-1}({1-x^{2}}/{\\sqrt{2} x})

{1}/{\\sqrt{2} {\Tan}^{-1}({1+x^{2}}/{\\sqrt{2} x})

AP EAPCET 25-Aug-2021 Shift 2 Paper

Section: Mathematics

Question : 75 of 160

Marks: +1, -0

If ∫

x2+1

x4+1

dx=f(x)+c, then f(x)= ______

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