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

Hypergeometric form of Fundamental theorem of calculus