Solving Integrals Using Substitution

The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes evaluating integrals manageable.

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Instructional Ideas
  • Provide the class several opportunities to determine what can be used for substitution
  • Have the class begin to find the integral using the methods they know before introducing substitution
Classroom Considerations
  • Pupils should know how to integrate elementary functions
Pros
  • The example shows how a complicated trigonometric function can be simplified through substitution
  • The presenter highlights the portions he will substitute
Cons
  • None