Integration with this radical

[psi20]

[math]

\int{(32-x^{5})^{(.2)}dx}

[/math]

 

How do you do that and what integration method(s) did you use?

[s pepperchin]

Just from looking at it I would say that you might be able to factor it since .2 is the 1/5th power and you have 32 which is 2^5 and you have x^5. Try that and see what you find.

[psi20]

I think you can only factor it once with (x-2) and the other factor can't be factored.

[s pepperchin]

I looked at it after I posted and that is true. I haven't figured it out yet though.