Examples in the Integral Calculus: Compiled for the Use of the Cadets at the United States Naval Academy (Classic Reprint)

Excerpt from Examples in the Integral Calculus: Compiled for the Use of the Cadets at the United States Naval Academy

A constant of integration may be considered as arising from each term of the second member, all of which constant-s unite into a single one. This expresses that a polynomial differential expression is integrated by treating each term separately. In the above expression of the principle, it is impossible to use limits, as the same limits cannot be values of each of the variables; but if, which is generally the case, we have a series of terms, each a function of the same variable, limits may be used on both sides; thus.

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