8)Given g(x)= 4x +integral e^x^2dx from 2x to -3.Find the x-value(s) where g has a local minimum.
The function e^(x^2) cannot be integrated.like a normal function.
The best you can get is an error fiunction, if you were to use a computger algebra program such as Mathmatica, or Maple.
Using Maple, you can plot this error function, which means that you can plot g(x).
I used Maple to plot g(x) amd observation of the plot showed a single local minimum at about x = 0.5.
Further manipulation of the plot parameters allowed me to find this local minimum at x = -0.4162295.
The value of g(x) at the local min. is approx: -1445