Functions Defined by Integrals

Functions defined by integrals need to be carefully integrated into the course. An AP® Calculus curriculum module discusses functions defined by integrals. It explains several reasons why pupils have difficulty with the concept and provides three different worksheets to use with the class.

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Instructional Ideas

  • Use the worksheets in preparation for unit tests or for the AP® test
Classroom Considerations

  • Learners must be familiar with definite integrals and the fundamental theorems of calculus
  • Note that each worksheet is intended to use at different points in the AP® Calculus course
Pros

  • Provides explanatory commentary for the answers to each worksheet
  • Lists prior AP® questions related to the topic
Cons

  • None