Fermat's method of integration

[toopercent]

hi,
I am stuck on the a question and would appreciate some help or hints.

Consider the area between the curve y=x^2 and the x-axis over the interval 0<=x<=1. Assume n is a whole number. use Fermat's method of integration to show that this area will equal 1/(n+1).


thank you

 

[galactus]

As stated in a recent thread on Mathnerds, see here:

. . .http://www.math.wpi.edu/IQP/BVCalcHist/calc1.html

This site explains it rather well.

 

[stapel]

Note: Fermat's method is explained about three-quarters of the way down the linked page in the previous reply.



Eliz.

 

[toopercent]

Thank you!