{\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.
An example of an amendment are the changes made to the U.S. Constitution. 1  a change for the better; improvement. 2  a correction of errors, faults, etc. 3  a revision or addition proposed or made in a bill, law, constitution, etc.  the process of making such changes.