All AP Calculus BC Resources
Example Questions
Example Question #41 : Introduction To Integrals
Approximate
using the midpoint rule with . Round your answer to three decimal places.
Possible Answers:
None of the other choices are correct.
Correct answer:
Explanation:
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 #1 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #2 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #1 : Riemann Sum: Midpoint Evaluation
Possible Answers:
Correct answer:
Explanation:
Example Question #31 : Integrals
Possible Answers:
Correct answer:
Explanation:
Example Question #31 : Numerical Approximations To Definite Integrals
Possible Answers:
Correct answer:
Explanation:
Example Question #31 : Integrals
Possible Answers:
Correct answer:
Explanation:
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All AP Calculus BC Resources
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