U Substitution: Solving Definite Integral of [(x^2sinx)/(1+x^6)]*dx

[jennie312]

The problem: The definite integral of [(x^2sinx)/(1+x^6)]*dx on the interval -∏/2 ≤ x ≤ ∏/2


I need help figuring out what the u should be for substitution.

I've been trying to make the (1+x^6) my u, but I don't know if this is what I should be doing.

 

[Dick]

There's no elementary integral for that. Can you think of some way to show it's zero without doing the integral? Try thinking about what a graph would look like.