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These Single Variable Calculus lecture notes cover: Approximating Riemann Integrals: Introduction to approximation techniques other than vertical strips (Trapezoid Rule and Simpson's Rule). The Trapezoid Rule: Derivation of the Trapezoid Rule for approximating Riemann integrals. Simpson's Rule: Derivation of Simpson's Rule for approximating Riemann integrals. Worked example using Trapezoid Rule and Simpson's Rule. 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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