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The definite integral is the area between a curve, an axis, and two axis perpendicular lines.
Here we give a formal definition of such area and discuss properties.
12.1 The Definite Integral or Area Under a Curve
12.2 Formal Definition of Area
12.3 Left, Right, Upper and Lower Sums
12.4 Computations of Riemann Sums
12.5 Properties