There is no closed form solution for the indefinite integral. W|A gives a number for the definite integral [math]\int_{-\infty}^{\infty} \text{ ...}[/math] but I doubt that there is any closed form for this either. You might find a way to do it using complex analysis but it will take someone better than me to do it.How can I calculate this integral of this function:
e^((-x^4+2*x-2)/(2*x^2))