Piecewise-monotonic functions and their integration.
MIT OpenCourseWare http://ocw.mit.edu 18.014 Calculus with Theory Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
Description
Definition of Piecewise monotonic function is given and discussed in this note. Rieman condition is applied to prove the integrability of such function which is bounded as well as monotonic in a given class. The integration of the said function is represented geometrically.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:5. Integrability of bounded piecewise-monotonic functions, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 2,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc
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