# Homework Help: Impossible Double Integral

1. Jun 9, 2010

### unreal89

1. The problem statement, all variables and given/known data

Eveluate by reversing order of integration

$$\int^{2}_{0}\int^{1}_{y/2} ye^{x^3}dxdy$$

2. Relevant equations

3. The attempt at a solution

this is what I got...

$$\int^{1}_{0}\int^{2x}_{0} ye^{x^3}dydx$$

I end up with...

$$\int^{1}_{0} 2x^2e^{x^3}dx$$

I don't know how to integrate this.... any tips? thanks

2. Jun 9, 2010

### lanedance

almost there - try a substitution

3. Jun 9, 2010

### unreal89

I'm sorry for being so slow... But I'm not sure what to substitute? Thanks

4. Jun 9, 2010

### gabbagabbahey

Well, you probably know how to integrate $e^u du$, so maybe try the substitution $u=x^3$ and see what happens.