The Fundamental Theorem of Calculus

  • David M. Bressoud
Part of the Undergraduate Texts in Mathematics book series (UTM)


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.


Scalar Field Gravitational Field Potential Field Differential Form Closed Curve 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • David M. Bressoud
    • 1
  1. 1.Mathematics and Computer Science DepartmentMacalester CollegeSaint PaulUSA

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