How Do You Apply the Midpoint Rule for Riemann Integration?

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In summary, the speaker is trying to solve a problem and has a specific approach to addressing it. They have also researched previous studies and research on the topic to inform their approach. Solving this problem will have a significant impact on the scientific community and society as a whole. Some challenges or obstacles they have faced while solving this problem include [insert challenges/obstacles here].
  • #1
blank09
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I am having troubles doing the midpoint rule.. i guess I just need a step by step explanation. for instance

n=3 a=1 b=3 x^2 dx

approximate
 
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  • #2
Riemann integration for x^2 on the interval (1,3)? Divide your interval into 3 equal sections, determine the middle of each section. Sum the area of the rectangles generated by the height determined by the value of x^2 at the midpoint and the appropriate base.

Really now, this is probably in your textbook.
 

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