{\displaystyle \int _{a}^{b}\!f(x)\,dx=F(b)-F(a).} The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz in the late 17th century, who thought of the integral as an infinite sum of rectangles of infinitesimal width.
amendment - a statement that is added to or revises or improves a proposal or document (a bill or constitution etc.) statement - a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc; according to his statement he was in London on that day.
Amendments Law and Legal Definition. An amendment in a legal context refers to a change made by a legislative or parliamentary process. The founding fathers devised a dual process by which the U.S. Constitution could be changed. The first option must begin in Congress which, by a two-thirds vote (of a quorum) in each house, may initiate an amendment.