7.1 Back to Basics

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	Java Number Cruncher: The Java Programmer's Guide to Numerical Computing By Ronald  Mak
	Table of Contents
	Chapter  7.   Numerical Integration

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7.1 Back to Basics

Numerical integration returns us to the basic definition of integration: finding the area under a curve in a piecewise manner. Figure 7-1 shows how we can use rectangles to estimate the area under a curve defined by some integrand f ( x ). We can make the computation easier by making all the rectangles have the same width.

Figure 7-1. Using rectangles to estimate the area under a curve defined by a function f ( x ).

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