I am looking for functions, other than $F(x)=\frac12x^2 + c$, whose first derivative is $F'(x)=x$. Are there any such functions?
2026-04-23 07:10:07.1776928207
Is there any integral of $x$ other than $\frac12{x^2} + c$?
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No, if two functions have the same derivative, then the difference of those two functions is a constant.
Thus all the anti-derivatives of $f(x)=x$ are in form of $ (1/2) x^2 +C$