Dividing curve area in to equal parts?

1. Oct 30, 2008

pjunky

For any given curve,we can find out the area bounded by the curve.
Using 'Simpson's 1/3 rule' I found out the area of the curve.
Now how to divide the area in to 'n' equal parts, so that

total Area=sum of n areas.

Thanks.

Last edited: Oct 30, 2008
2. Oct 30, 2008

mathman

If you want to divide the area into n EXACTLY equal parts, it will be very hard, since you need (in general) to compute the area first and then subdivide and check each subdivision before proceeding to the next. However when doing numerical integration, the usual procedure is divide the x axis domain into n equal parts, and use Simpson's rule. To keep things simple, choose n to be a multiple of 3.

3. Oct 31, 2008

HallsofIvy

Staff Emeritus
Yes. I puzzled over this for a while myself. In using Simpson's rule, you divide the x-axis into equal parts, which is very easy, not the (unknown) area, which is very hard!

4. Oct 31, 2008

pjunky

Ok
so may be I'll try to write a paper on this topic.
Thanks