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6.6 Applying Properties of Definite Integrals

Syllabus
2020
Topic
6.6
Level
—

FUN-6.A—Calculate a definite integral using areas and properties of definite integrals

  • FUN-6.A Calculate a definite integral using areas and properties of definite integrals.
  • FUN-6.A.1 In some cases, a definite integral can be evaluated by using geometry and the connection between the definite integral and area.
  • FUN-6.A.2 Properties of definite integrals include the integral of a constant times a function, the integral of the sum of two functions, reversal of limits of integration, and the integral of a function over adjacent intervals.
  • FUN-6.A.3 The definition of the definite integral may be extended to functions with removable or jump discontinuities.
  • Enduring understanding FUN-6: Recognizing opportunities to apply knowledge of geometry and mathematical rules can simplify integration.

Objective notes

1 learning objective
ConceptAP Calculus AB