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3 The Fundamental Theorem of Calculus
| Content Provider | Scilit |
|---|---|
| Author | Apelian, Christopher Surace, Steve |
| Copyright Year | 2009 |
| Description | Wenowwill establish one of the most important results in all of mathematics, the fundamental theorem of calculus. To do so, we note that if f : [a, b] → R is bounded and integrable on [a, b], then it is integrable on every subinterval [a, u] ⊂ [a, b], and therefore the integral ∫ u a f (x) dx determines a function F (u) defined on [a, b]. This function has nice properties, as the following theorem establishes. Book Name: Real and Complex Analysis |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-00204-2&isbn=9780429142017&doi=10.1201/b12330-32&format=pdf |
| Ending Page | 406 |
| Page Count | 27 |
| Starting Page | 380 |
| DOI | 10.1201/b12330-32 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2009-12-08 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Real and Complex Analysis History and Philosophy of Science Function Mathematics Fundamental Theorem Calculus Wenowwill Wenowwill Establish |
| Content Type | Text |
| Resource Type | Chapter |
