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The rectangles in the graph below illustrate a left endpoint Riemann sum for \(\displaystyle f(x) = \frac{x^2}{12} \) on the interval \(\lbrack 2, 6 \rbrack\). The value of this Riemann sum is (?), and this Riemann sum is an underestimate of the area of the region enclosed by \( \displaystyle y = f(x)\), the x-axis, and the vertical lines x = 2 and x = 6.

 

What is the value of this Riemann sum?

 

Left endpoint Riemann sum for \(y = \frac{x^2}{12} \) on \(\lbrack 2, 6 \rbrack\)

 
 May 6, 2022

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