Excerpt from A Treatise on the Integral Calculus, Vol. 1: Containing an Elementary Account of Elliptic Integrals and Applications to Plane Curves; With Numerous Examples The use of formulae of reduction, by which means a proposed integral is made to depend upon one more simple, and this again in the same way on another yet more simple, and so on, until finally we arrive at one of the elementary forms. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.