Mathematical Analysis I pp 299-353 | Cite as

# Integral calculus I

Chapter

## Abstract

Integral calculus tackles two rather different issues:

- i)
Find all functions that differentiate to a given map over an interval of the real line. This operation is essentially an anti-derivation of sorts, and goes by the name of

**indefinite integration**. - ii)
Define precisely and compute the area of a region in the plane bounded by graphs of maps defined on closed bounded intervals, known as

**definite integration**.

## Keywords

Step Function Fundamental Theorem Real Interval Primitive Function Integral Calculus
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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## Copyright information

© Springer-Verlag Italia, Milan 2008