Calculus II pp 337-367 | Cite as

Basic Methods of Integration

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


In this chapter, we first collect in a more systematic way some of the integration formulas derived in Chapters 4–6. We then present the two most important general techniques: integration by substitution and integration by parts. As the techniques for evaluating integrals are developed, you will see that integration is a more subtle process than differentiation and that it takes practice to learn which method should be used in a given problem.


Basic Method Integration Formula Shade Region Fundamental Theorem Reduction Formula 
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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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