g ( x ) = ∫ 3 x e t 2 − t d t {\displaystyle g(x)=\int _{3}^{x}e^{t^{2}-t}dt} d d x [ ∫ 3 x e t 2 − t d t ] {\displaystyle {\frac {d}{dx}}\left[\int _{3}^{x}e^{t^{2}-t}dt\right]}