The Definite Integral
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Covers the boundedness of the function in terms of the greatest lower bound and the least upper bound. Defines upper and lower integrals of functions and shows that if they are equal, the function f is then integrable over the interval of the curve. Derives the definite integral by summing increasingly smaller rectangular polygons.
More in Calculus Series
- A Function Is a Mapping 1966
- Area under a curve 1966
- Newton's Method 1966
- The Definite Integral 1966
- Continuity of Mappings 1967
- Infinite Acres 1967
- Limit 1967
- The Definite Integral As A Limit 1967
- Volume By Shells 1967
- Volume of a Solid of Revolution 1967
- What Is Area? 1967
- I Maximize 1968
- The Theorem of the Mean 1968
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