Today, we evaluate the improper integrals from 0 to infinity of sin(x^n) and cos(x^n), where n is greater than 1.
Turns out that this integral also converges for n less than -1, so we can extend the domain of n to R\[-1,1].
However, to extend to this domain, we put our answer in an absolute value, as it outputs a negative answer for negative n, whereas the integral is actually positive in this domain also.
