# Integration by parts help

1. Nov 30, 2008

### 2RIP

1. The problem statement, all variables and given/known data
How can i find the integral of $$\int e^{-x^{3}}dx$$

2. Relevant equations

3. The attempt at a solution
I tried using integration by parts, but it doesn't seem to give a nice way to solve either.

2. Nov 30, 2008

### rock.freak667

Re: Integration

I do not believe this integral exists in terms of elementary functions. Is it part of a question? If so, post the question.

3. Dec 2, 2008

### 2RIP

Re: Integration

Sketch the domain of integration of the integral $$\int^{1}_{0}dy\int^{1}_{\sqrt{y}} e^{-x^{3}}dx$$ and then evaluate it.

4. Dec 2, 2008

### Dick

Re: Integration

Are you answering you own question? If so, that's nonsense.