integrate((x^2+1)^-2,x)

Indefinite integral

integral1/(x^2 + 1)^2 dx = 1/2 (x/(x^2 + 1) + tan^(-1)(x)) + constant

Plot

Plot
Plot

Series expansion of the integral at x=0

x - (2 x^3)/3 + (3 x^5)/5 + O(x^6) (Taylor series)
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