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Fundamental Theorem of Calculus and accumulation functions · AP Calculus AB · Courselo

Courselo

Calc AB
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Unit 6: Integration and accumulation of change

Fundamental Theorem of Calculus and accumulation functions

Unit 6: Integration and accumulation of change · Lesson 3 of 6

Lesson 3 of 6

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Unit 6

Unit 6: Integration and accumulation of change

6 lessons · 9 h 45 min of study

Riemann sums and accumulation1 h 45 min of study
Definite integrals and net change1 h 45 min of study
Fundamental Theorem of Calculus and accumulation functionsReading · 0%
Antiderivatives and indefinite integrals1 h 45 min of study
Substitution for integrals1 h 30 min of study
Graphing calculator methods for numerical calculus1 h of study

This unit is ≈19% of the Calc AB, across 6 lessons. Full syllabus

Lesson 3 of 6 · Unit 6: Integration and accumulation of change

Fundamental Theorem of Calculus and accumulation functions

3 quick checks≈4% of the testStretch: Stretch: harder material that separates the top grades

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By the end you’ll be able to

Evaluate a definite integral using an antiderivative.
Differentiate an accumulation function with a variable limit of integration.
Apply the chain rule when the limit of integration is a function of $x$.
Interpret the derivative of an accumulation function graphically or contextually.

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Adaptive questions on Fundamental Theorem of Calculus and accumulation functions.

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Use the Fundamental Theorem of Calculus to connect accumulated quantity and rate.

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