Calculate #int_3^7(1/5)x^2dx# using a midpoint Riemann Sum with four increments?

calculate #int_3^7(1/5)x^2dx# using a midpoint Riemann Sum with four increments.

1 Answer
May 29, 2018

approximately 21 using midpoint Riemann's sum
enter image source here

Explanation:

first i graphed in top left
then i calculated dx which was 1
then i did dx * where the function is defined at each point added together.
=21
then in the box i checked what the exact value was using integration, because Riemann's sum is an estimation.