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Basic Methods of Integration

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Calculus II

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

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Abstract

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.

Learning the art of integration requires practice.

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© 1985 Springer-Verlag New York Inc.

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Marsden, J., Weinstein, A. (1985). Basic Methods of Integration. In: Calculus II. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5026-5_1

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  • DOI: https://doi.org/10.1007/978-1-4612-5026-5_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90975-2

  • Online ISBN: 978-1-4612-5026-5

  • eBook Packages: Springer Book Archive

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