AP Calculus BC - The Fundamental Theorem of Calculus and Definite Integrals

Primary Input (Function, Interval, Method)

Ekspresi 9: "f" left parenthesis, "x" , right parenthesis equals StartFraction, "x" to the 4th power Over 625 , EndFraction negative StartFraction, 3 "x" squared Over 25 , EndFraction positive 1

Ekspresi 10: left bracket, "x" Subscript, 1 , Baseline less than or equal to "x" less than or equal to "x" Subscript, 2 , Baseline , right bracket

Ekspresi 11: "x" Subscript, 1 , Baseline equals negative 5

negative 10

Ekspresi 12: "x" Subscript, 2 , Baseline equals 4

negative 10

Calculation Method

Ekspresi 14: "M" Subscript, "e" "t" "h" "o" "d" , Baseline equals 0

Method = 0 for the definite integral (area under y = 0 is counted as negative) Method = 1 for area under the curve (area under y = 0 is counted as positive)

Visual Representation Construction

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"x" Subscript, 1 , Baseline equals negative 5

"x" Subscript, 2 , Baseline equals 4

Statistics

Start integral from "x" Subscript, 1 , Baseline to "x" Subscript, 2 , Baseline , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x" equals 2.7 6 8