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Substitution for integrals · AP Calculus AB · Courselo

Courselo

Calc AB
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Unit 6: Integration and accumulation of change

Substitution for integrals

Unit 6: Integration and accumulation of change · Lesson 5 of 6

Lesson 5 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 functions2 h of study
Antiderivatives and indefinite integrals1 h 45 min of study
Substitution for integralsReading · 0%
Graphing calculator methods for numerical calculus1 h of study

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

Lesson 5 of 6 · Unit 6: Integration and accumulation of change

Substitution for integrals

3 quick checks≈2% of the testStretch: Stretch: harder material that separates the top grades

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By the end you’ll be able to

Identify when $u$-substitution is an appropriate method.
Choose a substitution that simplifies a composite integrand.
Evaluate indefinite integrals using $u$-substitution.
Evaluate definite integrals using $u$-substitution, including updated bounds or back-substitution.

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Adaptive questions on substitution for integrals.

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Check that the result is reasonable by differentiating or interpreting the original integrand.

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