Quick Reimann Sum Question

[minneola24]

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)
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Below is the answer

 

[DrPhil]

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



Below is the answer

The \(\displaystyle x_i\) are boundaries of four intervals,

and the widths of the intervals are \(\displaystyle \Delta x_i = x_i - x_{i-1}\)

Rather than using the edge of the intervals, the points \(\displaystyle c_i \in [x_{i-1},\ x_i] \) are arbitrary points within each interval.