The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. 
Home Integral The Definite Integral Examples Integral of a Constant Function  
Search the VIAS Library  Index  
Integral of a Constant Function
Given a constant c > 0, evaluate the integral Figure 4.1.13 Figure 4.1.13 shows that for every positive real number Δx, the finite Riemann sum is
Figure 4.1.14 By the Transfer Principle, the infinite Riemann sum in Figure 4.1.14 has the same value, . Taking standard parts, . This is the familiar formula for the area of a rectangle.


Home Integral The Definite Integral Examples Integral of a Constant Function 