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Example Questions
Example Question #41 : Integrals
Approximate
using the midpoint rule with . Round your answer to three decimal places.
The interval is 4 units in width; the interval is divided evenly into four subintervals
units in width, with their midpoints shown:
The midpoint rule requires us to calculate:
where and
Evaluate for each of
:
So
Example Question #42 : Integrals
Approximate
using the midpoint rule with . Round your answer to three decimal places.
Cannot be determined
The interval is 1 unit in width; the interval is divided evenly into five subintervals
units in width, with their midpoints shown:
The midpoint rule requires us to calculate:
where and
Evaluate for each of
:
Example Question #45 : Integrals
Approximate
using the midpoint rule with . Round your answer to three decimal places.
None of the other choices are correct.
The interval is
units in width; the interval is divided evenly into five subintervals
units in width, with their midpoints shown:
The midpoint rule requires us to calculate:
where and
Evaluate for each of
:
Since ,
we can approximate as
.
Example Question #3 : Riemann Sum: Midpoint Evaluation
Example Question #4 : Riemann Sum: Midpoint Evaluation
Example Question #5 : Riemann Sum: Midpoint Evaluation
Example Question #6 : Riemann Sum: Midpoint Evaluation
Example Question #7 : Riemann Sum: Midpoint Evaluation
Example Question #8 : Riemann Sum: Midpoint Evaluation
Example Question #9 : Riemann Sum: Midpoint Evaluation
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All AP Calculus BC Resources
