I believe what's being shown is a method of finding an integral called "u substitution". So I understand that . Also I understand that although I wonder at this point why is a derivative being taken? I thought we were finding the anti derivative? Following further I understand that [tex](x^4+2)^5=u^5. Then there is which I don't understand at all. I am just left wondering where the came from.

At this point in my online course they are talking about the anti derivative and we have yet only talked about the indefinite integral.

Thanks for any responses...