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November 24th, 2017, 03:53 AM  #11 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,331 Thanks: 2457 Math Focus: Mainly analysis and algebra 
You'd probably use existing libraries for that sort of thing.

November 24th, 2017, 04:08 AM  #12 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,248 Thanks: 887 
So you have "studied it many times" but have never understood anything about it? There are many numerical algorithms for approximate integration. Neither integration nor differentiation are "arithmetic" methods, they require the "limit" process (which you should have learned in the first semester of Calculus if not in a "preCalculus" course). Limits cannot be done numerically so the best a digital computer can do is an approximation.


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differentiation, integration 
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