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Note: You are looking at a static copy of the former PineWiki site, used for class notes by James Aspnes from 2003 to 2012. Many mathematical formulas are broken, and there are likely to be other bugs as well. These will most likely not be fixed. You may be able to find more up-to-date versions of some of these notes at http://www.cs.yale.edu/homes/aspnes/#classes.

First you have to know HowToDifferentiate. Having learned how to differentiate, your goal in integrating some function f(x) is to find another function F(x) such that F'(x) = f(x). You can then write that the integral of f(x) is F(x)+C (any constant C works), and compute definite integrals with the rule Integrala to b f(x) dx = F(b) - F(a).

How do you find this magic F(x)? Some possibilities:

CategoryAlgorithmNotes CategoryMathNotes

2014-06-17 11:58