Riemann sum Question
Consider the given function.
f(x) = 4 - (1/4)x
Evaluate the Riemann sum for 2 ≤ x ≤ 4 , with six subintervals, taking the sample points to be left endpoints. (Give an exact answer.)
How do I start this? and how do i know if its upper or lower bound?
So you are calculating , meaning you have to divide the interval into six equal portions. And to find how long each of the sub-interval is going to be, you will have to use this formula:
For dividing into n sub-intervals.
So, you should have as the length of your subs.
Now, you need to use the formula:
Note that and , so in this case is equal to , because we are using the left end points
So once you have plugged in all the value, you should have the following expression:
Using , just plug in the values! Can you take it from here?