Abstract
Definition of the indefinite integral. Linearity of the integral. a and b are constants. Integration by parts. Change of variable. (Integration by substitution.) Special integration results.
Keywords
- Shade Area
- Gamma Function
- Beta Function
- Multiple Integral
- Jacobian Determinant
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References
Most of these formulas can be found in any calculus text, e.g. Edwards and Penney (1998). For (9.67)–(9.73), see Marsden and Hoffman (1993), who have a precise treatment of multiple integrals. (Not all the required assumptions are spelled out in the subsection on multiple integrals.)
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Sydsæter, K., Strøm, A., Berck, P. (2010). Integration. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_9
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DOI: https://doi.org/10.1007/978-3-540-28518-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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