Evaluating a Reversed Order Double Integral

[unreal89]

Homework Statement

Eveluate by reversing order of integration

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

Homework Equations

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

 

[lanedance]

almost there - try a substitution

 

[unreal89]

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

 

[gabbagabbahey]

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

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