Part of the Undergraduate Texts in Mathematics book series (UTM)
In this chapter, we solve, more or less simultaneously, the following problems:
- (1)Given a function f(x), find a function F(x) such thatThis is the inverse of differentiation, and is called integration.$$ F'(x) = f(x). $$
Given a function f(x) which is ≧ 0, give a definition of the area under the curve y = f(x) which does not appeal to geometric intuition.
KeywordsContinuous Function Small Interval Fundamental Theorem Small Rectangle Geometric Intuition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 2002