Basic theorems relating to integrals and derivatives.
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 one sided derivative is discussed. The comparison theorem, the first fundamental theorem of calculus and the second fundamental theorem of calculus are stated and proved. The antiderivative is defined and analysed. The inverse relation between integration and differentiation is proved. Few problems are given to solve in the exercise.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:10. The fundamental theorems of calculus, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 4,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc
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