Originally Posted by
tonio Hint (definition): an antiderivative, sometimes also called primitive function (although they formally are different, but this really doesn't matter now) of a function $\displaystyle f(x)$ is a function $\displaystyle F(x)\,\,\,s.t.\,\,\,F'(x)=f(x)$.
Huge Hint: the primitive function of $\displaystyle x^m$, for ANY real number $\displaystyle 1\neq m\in\mathbb{R}$ is $\displaystyle \frac{x^{m+1}}{m+1}+C$ , where $\displaystyle C$ is an arbitrary constant.
Tonio
Pd. Don't you dare miss classes anymore: at this level it can be as bad as getting lost in the desert.