Let be defined by if , and otherwise.

Prove that exist and find its value.

Question so far:

Define a partition P on [0,1] with

Define

So I need to show that for any given , we will have , but how should I process? Thanks.

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- October 30th 2008, 03:01 PMtttcomraderIntegrate this function
Let be defined by if , and otherwise.

Prove that exist and find its value.

Question so far:

Define a partition P on [0,1] with

Define

So I need to show that for any given , we will have , but how should I process? Thanks. - October 30th 2008, 07:50 PMNonCommAlg
- November 2nd 2008, 06:18 AMtttcomrader
Thanks for your help, but there is something that I ain't clear about here.

Now, I know that

but how does this equals to ?

Thanks again!