Free Riemann sums with sigma notation Practice Problems • Learn To Be

The following graph shows a Riemann sum:

Which of the following approximates the area between $f(x)$ and the $x$ -axis on the interval $[0,2]$ using a left Riemann sum with $6$ equal subdivisions?

Choose 1 answer:

A
$\displaystyle {\sum_{i=0}^{2}} { \left( \dfrac{1}{2}i \right)^3 } \cdot {\dfrac{1}{2}}$
B
$\displaystyle {\sum_{i=0}^{5}} { \left( \dfrac{1}{2}i \right)^3 } \cdot {\dfrac{1}{2}}$
C
$\displaystyle {\sum_{i=0}^{5}} { \left( \dfrac{1}{3}i \right)^3 } \cdot {\dfrac{1}{3}}$
D
$\displaystyle {\sum_{i=0}^{2}} { \left( \dfrac{1}{3}i \right)^3 } \cdot {\dfrac{1}{3}}$

Riemann sums with sigma notation

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