AP Calculus AB : Antiderivatives following directly from derivatives of basic functions

Study concepts, example questions & explanations for AP Calculus AB

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Example Questions

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Example Question #41 : Techniques Of Antidifferentiation

Integrate:

Possible Answers:

Correct answer:

Explanation:

The integral is equal to

The following rule was used to integrate:

Now, we find the numerical answer by plugging in the upper bound of integration and subtracting what we get from plugging in the lower bound of integration:

Example Question #42 : Techniques Of Antidifferentiation

Integrate:

Possible Answers:

Undefined

Correct answer:

Explanation:

The integral is equal to

and was found using the identical rule.

Evaluating by plugging in the upper bound and subtracting from what we get from plugging in the lower bound, we get

 

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