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Antiderivatives and indefinite integrals · AP Calculus AB · Courselo

Courselo

Calc AB
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Unit 6: Integration and accumulation of change

Antiderivatives and indefinite integrals

Unit 6: Integration and accumulation of change · Lesson 4 of 6

Lesson 4 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 integralsReading · 0%
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 4 of 6 · Unit 6: Integration and accumulation of change

Antiderivatives and indefinite integrals

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

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By the end you’ll be able to

Find an antiderivative using power and constant multiple rules.
Integrate standard exponential and trigonometric forms within AB scope.
Write the family of antiderivatives using $+C$.
Use an initial condition to determine a particular antiderivative.

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Adaptive questions on antiderivatives and indefinite integrals.

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0% read

Check an antiderivative by differentiating it.

Find antiderivatives involving $$\frac{1}{x}$$ using $$\int \frac{1}{x}\,dx=\ln|x|+C$$.

Recognize logarithmic antiderivatives that arise after algebraic rewriting or substitution, such as forms equivalent to $$\frac{f'(x)}{f(x)}$$.

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