{\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.
Look up amendment in Wiktionary, the free dictionary. An amendment is a formal or official change made to a law, contract, constitution, or other legal document. It is based on the verb to amend, which means to change. Amendments can add, remove, or update parts of these agreements. They are often used when it is better to change the document than to write a new one.