{\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-Legal Definition. n. 1  The addition, deletion, correction, or other changes proposed or made to a document. 2  The term is usually capitalized when referring to an amendment in the United States Constitution (for example, the Fifth Amendment). 3  The act or process or revising something. 4  See also emendation.. 1  The addition, deletion, correction, or other changes proposed or made to a document. 2  The term is usually capitalized when referring to an amendment in the United States Constitution (for example, the Fifth Amendment). 3  The act or process or revising something. 4  See also emendation.