How could I solve this problem ∫ e^ (6x^2) dx?

Answer 1

You cant. There is not an elemetary function whose integral is e^x^2 or the one you have

Ana

Answer 2

You could start by double checking the problem. What you have there leads to what's called an 'imaginary error function' and, unles you're in about your 2'nd year of differential equations, you shouldn't be seeing such a problem.

But if you are, I used a standard form look-up table and got
(1/2)(√(π/6) * erfi(√6 x) + C

Doug

Answer 3

by parts

Answer 4

4.83267