  We introduce a natural method of computing antiderivatives of a large class
of functions which stems from the observation that the series expansion of an
antiderivative differs from the series expansion of the corresponding integrand
by just two Pochhammer symbols. All antiderivatives are thus, in a sense,
"hypergeometric". And hypergeometric functions are therefore the most natural
functions to integrate. This paper would like to make two points: First, the
method presented is easy. So much so that it can be taught in undergraduate
university level. And second: It may be used to prove some of the more
challenging examples computed only by heuristic processes like Method of
brackets.
