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Definite integrals and net change · AP Calculus AB · Courselo

Courselo

Calc AB
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Unit 6: Integration and accumulation of change

Definite integrals and net change

Unit 6: Integration and accumulation of change · Lesson 2 of 6

Lesson 2 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 changeReading · 0%
Fundamental Theorem of Calculus and accumulation functions2 h of study
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 2 of 6 · Unit 6: Integration and accumulation of change

Definite integrals and net change

3 quick checks≈4% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Interpret $\int_a^b f(x)\,dx$ as a net accumulation.
Evaluate definite integrals from geometric regions when appropriate.
Use properties of definite integrals to rewrite or simplify expressions.
Apply the net change theorem to a quantity defined by a rate.

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Adaptive questions on definite integrals and net change.

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Distinguish net change from total change or total distance when signs vary.

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PreviousRiemann sums and accumulation Next lessonFundamental Theorem of Calculus and accumulation functions