Calculus II pp 419-455 | Cite as

Applications of Integration

  • Jerrold Marsden
  • Alan Weinstein
Part of the Undergraduate Texts in Mathematics book series (UTM)


Our applications of integration in Chapter 4 were limited to area, distance-velocity, and rate problems. In this chapter, we will see how to use integrals to set up problems involving volumes, averages, centers of mass, work, energy, and power. The techniques developed in Chapter 7 make it possible to solve many of these problems completely.


Cylindrical Shell Step Function Moving Object Average Power Output Solid Region 
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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Jerrold Marsden
    • 1
  • Alan Weinstein
    • 2
  1. 1.Control and Dynamical Systems 107–81California Institute of TechnologyPasadenaUSA
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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