MA.912.C.4.3

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Interpret a definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval.

Examples

Example: Explain why begin mathsize 12px style integral subscript 4 superscript 5 2 x d x space equals space 5 squared minus 4 squared end style.

Clarifications

Clarification 1: Instruction focuses on the relationshipbegin mathsize 12px style integral subscript a superscript b f apostrophe left parenthesis x right parenthesis d x equals f left parenthesis b right parenthesis minus f left parenthesis a right parenthesis end style which is the Fundamental Theorem of Calculus.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Develop an understanding for and determine integrals.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

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