Hi, my question is:
The function F(x) satisfies F'(x)=e^(-x^2) and F(0)=0. Express F(x) as a definite integral.
I'm really stuck on this question, so any help and hints would be greatly appreciated!
What confused me about this question is that, when I try to compute the integral, I get:
F(x)= [-e^(-t^2)/2t] upper limit x and lower limit 0
When I put in the limits, I get the definite integral being:
(-e^(x^2)/2x)-(-e^(0)/0)=(-e^(x^2)/2x)-(-1/0)
What confuses me is the second part of this definite integral, as it is divided by zero and can't be computed. For this reason I'm stuck on this question. Is there some other method, or is this the correct way to approach this question? Thank you