Complicated Exponential Integrals

A friend has come to me for help finding the integral of:

2/(e(2x^{3})) with respect to x

I can only see it being integrated as a series? Is there something or some method that i am missing? Tired to do a substitution but you get a mess that cant be removed, thus my thought of a series? I think that if this is the case, then the question is wrong as he is only working through year 1 calc.

Thanks.

Re: Complicated Exponential Integrals

Quote:

Originally Posted by

**Mahanen** A friend has come to me for help finding the integral of:

2/(e(2x^{3})) with respect to x

I can only see it being integrated as a series? Is there something or some method that i am missing? Tired to do a substitution but you get a mess that cant be removed, thus my thought of a series? I think that if this is the case, then the question is wrong as he is only working through year 1 calc.

Thanks.

integral[2/Exp[2x^3]] - Wolfram|Alpha

If you don't know anything about the incomplete Gamma function, then yes, use a series.

Re: Complicated Exponential Integrals

Do you mean 2/e^(2x^3)= 2e^(-2x^3)? If so, that cannot be integrated in terms of elementary functions.