In general, what is the integral where n is the nth derivative of f(z)?
What, exactly, does mean? Is it the nth power of f or the nth derivative (more commonly written )? If it means the nth derivative, and you are integrating with respect to its nth derivative that is exactly the same as evaluated at , .
If you mean f to the power n, then it will depend more strongly on exactly what f is.
I am really having trouble with the concept of this problem. If you integrated with respect to the variable n by taking the antiderivative of n, and the limits of the integral are set to 1 and 0, you come up with a 1/2 derivative which makes no sense at all. I cannot take the antiderivative of the function as a whole because I am not integrating with respect to z, since z is a constant. If anyone could point me in the right direction I would appreciate it very much.