what is ihe integral of root cosx?

Question

can any one say the integral of root cos x did this exists if not say the reason

Answer 1

∫ √cos x dx exists, because cos x is a continuous function.
However, it is not elementary. That means it cannot
be written as a finite combination of radicals, exponential
functions, logarithms, etc.

Answer 2

root of cos x does not merely have a meaning... you must specify whether u integerate with respect to something... like say with respect to x