{\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.
AMENDMENT, legislation. An alteration or change of something proposed in a bill. 2. Either house of the legislature has a right to make amendments; but, when so made, they must be sanctioned by the other house before they can become a law. The senate has no power to originate any money bills, (q. v,) but may propose and make amendments to such as have passed the House of representatives.