Properties of integrals

Use properties properly to evaluate a definite integral. Pupils watch an informative video to see how three different properties of integrals help with the evaluation of a definite integral. The presenter uses the properties to separate the sum of two terms, pull a constant coefficient out of the integral, and evaluate two definite integrals over the same range together.

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Instructional Ideas
  • Create a list of properties of integrals
  • Ask the class to identify the properties that could be used to simplify a set of created definite integrals
Classroom Considerations
  • Assumes knowledge of taking integrals of single terms
  • Shows each step within the evaluation of the integral
  • Uses colors to show where two values will divide out
  • None