{\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.
Summary. 1. An amendment means changes made in an already existing agreement. On the other hand, an addendum means including an additional document in the already existing one. 2. While an addendum becomes a part of the legal and binding contract, amendments are only part of a contract until negotiations. 3. An amendment can also be called as correcting a document, improving the document, making alteration or including supplementary information to the first document.