1727-41 CHAMBERS Cycl. s.v. Calculus, The integration is known to be justly performed, if the quantity found..being differenced, produce that proposed to be summed. 1837 BREWSTER Magnet. 173 A fluxionary equation..by the integration of which the curve may be constructed. 1877 B. WILLIAMSON Int. Calc. (ed. 2) vi. §90 The process of integration may be regarded as that of finding the limit of the sum of the series of values of a differential f(x)dx, when x varies by indefinitely small increments from any one assigned value to another... For example, in seeking the area of a curve, we conceive it divided into an indefinite number of suitable elementary areas, of which we seek to determine the sum by a process of integration. | 1727-41 CHAMBERS Cycl. s.v. Calculus, The integration is known to be justly performed, if the quantity found..being differenced, produce that proposed to be summed. 1837 BREWSTER Magnet. 173 A fluxionary equation..by the integration of which the curve may be constructed. 1877 B. WILLIAMSON Int. Calc. (ed. 2) vi. §90 The process of integration may be regarded as that of finding the limit of the sum of the series of values of a differential f(x)dx, when x varies by indefinitely small increments from any one assigned value to another... For example, in seeking the area of a curve, we conceive it divided into an indefinite number of suitable elementary areas, of which we seek to determine the sum by a process of integration. |