I have tried this problem a million times, and many different ways, and I can't seem to figure out the right answer. Please help!! Thank you so much!

I have to solve:

integral from (-1) to (1) (lower limit -1 and upper limit 1) of the function: pi*((x^3)+1)^2.

I've integration by parts, I tried multiplying it out and doing it that way, and I get answers in all the ways I do it but I never get the same answer, and none of the answers I've gotten have been right.