Author 
Topic 

iamlost1000
Average Member
USA
9 Posts 
Posted  09/28/2007 : 03:06:00

Whats the difference between antiderivative, riemman sum, and definite integral. Anybody have any good explanations or examples 


royhaas
Moderator
USA
3059 Posts 
Posted  09/28/2007 : 03:56:06

An antiderivative is an indefinite integral. Two antiderivatives of the same function differ only by a constant. An antiderivative evaluated at two endpoints of an interval is the basis for the value of a definite integral. Both F(x) and F(x)1 are antiderivatives of the function F'(x).
A Riemman sum is an approximating sum of rectangular areas whose limiting form is a definite integral, which may have the value F(b)F(a). 


iamlost1000
Average Member
USA
9 Posts 
Posted  10/04/2007 : 01:13:24

ok. I'm a bit confused. Whats the difference between using rimeean sum to find the area and using the fundermental theorems like defininte intergral to find the area?? 



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