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Chapter 12: Definite Integrals. Area. Riemann Sums


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