Accumulation functions
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=QucJv2hCthc
Introduction to the idea of creating a new function from an old function by means of definite integration. This new function measures accumulated area under the graph of the original function. When the original function represents rate of change of some quantity, then the accumulation function represents net change in that quantity. Two examples are examined. The video also discusses the idea of helper variables , auxiliary variables that show up in, for example, summation, integration, or limit evaluation, whose names are irrelevant to the process. • ERRATE and COMMENTARY • • At 1:58 and a bit later I wrote 3-1/3 when I meant 9-1/3 . Fortunately, the final answer 26/3 is correct. (Thanks to Mark Lavigueur for pointing this out.)
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