AP Calculus AB Chapter 6.1 and 6.2

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Definition


How to find the area of the under the curve:
(1) determining the width of the interval for each rectangle
(2) Use left endpoint and plug it into equation / find the point on the
graph to get height of each rectangle
(3) Find area by adding the area of each individual rectangle (width x
height)
concave up = under approx. , concave down = over approx.



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Midpoint Rectangular How to find MRAM, LRAM, and
Approximation Method (MRAM) RRAM on the calculator




Left Rectanglular
Right Rectangular Approximation
Approximation Method
Method (RRAM)
(LRAM)

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2 of 18

Term



Simple Definition of Integral



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Table Area under the curve




Simple/single split Distance from mean


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3 of 18

Definition



Let f be a continous function on [a,b]
if there exists a number I such that (equation) then f is integrable on
[a,b] and I is the definite integral of f
all continous functions are integrable



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Definition of the definite
Property of Continuous Functions
integral