# Incorrent solution

The logic used by the current solution is not correct. Moreover, it is not true that the general anti-derivative of ${\displaystyle f(x)=e^{g(x)}}$ is ${\displaystyle {\frac {1}{g'(x)}}e^{g(x)}+c}$ (take, for example, ${\displaystyle g(x)=x^{2}}$).