Some Techniques of Integration

Abstract

In our chapter on integration it was stated that the process of integration may be considered as the reverse of the process of differentiation, and that if p is the derivative of q, then the integral of p will be q + C, where C is an arbitrary constant. This statement was followed by a short table of results. Below we print a slightly longer table of Standard Integrals. In each case the integral of a function in the first column has been obtained by asking the question, “ What is the function that has this entry in the first column as its derivative?” Differentiation of the entries in the second column, by one of the methods set forth in one of the chapters on differentiation, will yield the corresponding entry in the first column.

—by his plan of attack

Siegfried Sassoon: The General