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AP Calculus AB Lim 5 C Represent the Limiting Case of the Riemann Sum As a Definite Integral Questions

Translate a limiting Riemann sum into definite integral notation by identifying the function, interval, sample points and subinterval width.

Syllabus
Effective Fall 2020
Course
AP Calculus AB

Exam points

  • interpret a Riemann sum as accumulated area or a definite integral
  • translate between summation notation, limits and definite-integral notation

AP Calculus AB Lim 5 C Represent the Limiting Case of the Riemann Sum As a Definite Integral Questions question 1

[Maximum number: 1]

Choose the integral that is the limit of the Riemann Sum: nit n approaches to infinity of sum from k equals 1 to n of left parenthesis left parenthesis start fraction numerator 3 k over denominator n end fraction plus 2 right parenthesis squared end exponent times left parenthesis 3 over n right parenthesis right parenthesis .

A

(A) ategral from 2 to 5 of left parenthesis x plus 2 right parenthesis squared end exponent d x

B

(B) ategral from 0 to 3 of left parenthesis 3 x plus 2 right parenthesis squared end exponent d x

C

(C) ategral from 2 to 5 of x squared end exponent dx

D

(D) ategral from 0 to 3 of x squared end exponent dx

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