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The Fundamental Theorem of Calculus

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Second Year Calculus

Part of the book series: Undergraduate Texts in Mathematics ((READINMATH))

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Abstract

For scalar functions of one variable, the fundamental theorem of calculus is a powerful tool for integration. It says that there exists an associated function, often called an antiderivative, such that the integral of the scalar function can be evaluated by looking at the antiderivative at the endpoints of the interval. Specifically, it is the following theorem.

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© 1991 Springer Science+Business Media New York

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Bressoud, D.M. (1991). The Fundamental Theorem of Calculus. In: Second Year Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0959-1_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0959-1_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97606-8

  • Online ISBN: 978-1-4612-0959-1

  • eBook Packages: Springer Book Archive

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