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AP Calculus AB Period Score / 10 Enrichment: Topic 6.3 - Riemann Sums, Summation Notation and Definite Integral Notation (Circuit) Directions: Beginning in the first
AP Calculus AB Period Score / 10 Enrichment: Topic 6.3 - Riemann Sums, Summation Notation and Definite Integral Notation (Circuit) Directions: Beginning in the first cell, find the answer. Hunt for that answer elsewhere in the document, mark that cell #2 and work the problem in that box. Process in this manner until you complete the circuit. You must show all your work. No calculators may be used on this circuit. For each problem, use a right endpoint Riemann sum with equal partitions. # 1 # Ans: Ans: lim EIn S* +1 4 Find a limit expression equal to [ (x3 + 1) dx- Find a limit expression equal to | (x -8) dx. # Ans: [(x3 +1) dx # Ans: [ ( * + 2 ) dox 2 Find an integral expression equal to Find an integral expression equal to lim E (2 K ) + 3 (2 ). (V(Ex+3) +1 (3).Find '1' inlets-1| expression equal m mhn] -" E Find a limit expression Ihat is equal to the area of the shaded region show below. # Ans: lim _ cos I k # Ans: lim >|4*+2 ( 4] Find a limit expression equal to [ V4x-3 dx. Find a limit expression that is equal to the area of the shaded region shown below. y = In(x+ 1) 3 # # Ans: lim > sin - k 2n) Ans: (x+1) dx 3 Find an integral expression equal to Find an integral expression equal to lim ( 2 * ) +2 (2). 2 ( (3 4+3 ) +1 (3).Ans: [Vx+ 1 dx Ans: 1 ( x2 + 3 ) dox Find an integral expression equal to Find an integral expression equal to lim = (24+ 2) +1 2). # Ans: [Vx' + 1 dx # 3 Ans: J(x 3 + 3) dx Find a limit expression equal to | In(2x-1)dx. Find a limit expression that is equal to the area of the shaded region shown below
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