Standard #: 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.

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))


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