{\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 amendment to the Constitution is a change that can add to the Constitution or change an older part of it. Originally, some people did not want to ratify the Constitution. One big reason was that it did not have a bill of rights. A bill of rights is a list of rights that belong to the people.