November 14, 2008

These Single Variable Calculus lecture notes cover:

- Integration by Parts: Introduction to method of integration by parts, with example of integrating x*cos(x).
- How to Use Integration by Parts: Further explanation of integration by parts, with example of integrating ln(x).
- Reduction Formulas: Definition of reduction formulas found using integration by parts, with examples of reduction formulas for integrating (ln(x))
^{n}and (t^{n})*(e^{t}). - Advanced Reduction Formulas: Derivation of reduction formula for integrating (sin(x))
^{n}.

Course: 18.01 Single Variable Calculus, Fall 2005

Instructor: Prof. Jason Starr

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

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