Quick Reimann Sum Question

Hello,

My only question is what is the relation c_{#} and x_{#} and delta X

No need to solve it, I just need to know what the relationship is =) Thanks!!

*Below is the question (ignore figure for 72)*

**you have to click it ;)**

http://www.imageshack.us/thumbnail.png

Below is the answer

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Re: Quick Reimann Sum Question

is the set of points where you evaluate and

Re: Quick Reimann Sum Question

Thanks for the quick response,

I understand Ci now, great.

But I am not sure how you are getting delta xi from just xi - xi-1

Could you please explain that part, thanks.

Re: Quick Reimann Sum Question

Do you know the geometric idea behind Riemann series? Basically the point is adding areas of rectangles, of height and width . If you have the following sequence of points

you will have the following sequence of widths

and the following sequence of mid points :

Re: Quick Reimann Sum Question

How do you know that Ci is midpoints thoe? Do you just assume it?

Re: Quick Reimann Sum Question

The Ci are the midpoints __by definition__.

Re: Quick Reimann Sum Question

Thanks,

So then how do I tell if it wants a left / right or mid point?