Re: Integration by Darboux

Re: Integration by Darboux

Ah. Thanks. I just got it.

Is the following proof okay:

U(f,Q) = area to the left of x + area between x and c + area between c and y + area to the right of y

U(f,P) = area to the left of x + area between x and y + area to the right of y

Can I then say that when y-x approaches 0 (refining the partition P more and more):

U(f,P) = area to the left of x + area to the right of y = U(f,Q)

Or is this too informal? How would I write this in a more formal manner?

Thanks

Re: Integration by Darboux

How do I formalize the proof?