when two functions have the same derivative

Описание: The derivative of arctan((x-1)/(x+1)) and the derivative of arctan(x) are both equal to 1/(x^2+1). However, do these two functions simply differ by a constant?
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Integral of 1/(x^2+1) by using complex numbers    • integral of 1/(x^2+1) but you didn't learn...  

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