How do you evaluate the Riemann sum for f(x), 1≤x≤7 with three equal sub-intervals and taking the sample points to be the left endpoints when given a table?

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1 Answer
Apr 15, 2018

The Riemann sum should be #6#.

Explanation:

Our three intervals will be

#[1, 3]#
#[3, 5]#
#[5, 7]#

Since we are using left endpoints, our sum will be

#=2f(1) + 2f(3) + 2f(5)#

#=2(4) + 2(2) + 2(-3)#

#=8 + 4 - 6 #

#=6#

Hopefully this helps!