Integrating e^(x^2)dx: Tips and Tricks for Solving Diff Eq Problems

[itzela]

I'm doing a diff eq problem and I got stuck on the part where I have to integrate
e^(x^2)dx. I tried using substitution but that didn't work ... any ideas?

 

[Tide]

There's a good reason why you're getting stuck - there is no simple expression for the integral you're trying to evaluate.

 

[leon1127]

I'm doing a diff eq problem and I got stuck on the part where I have to integrate
e^(x^2)dx. I tried using substitution but that didn't work ... any ideas?

if it is definite integral you can evaluate by double integral and transformation to polar. if it is indefinite, a good way to evaluate it is integrate its polynomial expansion. but itself doesn't have an antiderivative

 

[itzela]

Got it =) Thanks for pointing me in that direction.