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8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts

Syllabus
2020
Topic
8.3
Level

CHA-4.D—Interpret the meaning of a definite integral in accumulation problems

  • CHA-4.D Interpret the meaning of a definite integral in accumulation problems.
  • CHA-4.D.1 A function defined as an integral represents an accumulation of a rate of change.
  • CHA-4.D.2 The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval.
  • Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.

CHA-4.E—Determine net change using definite integrals in applied contexts

  • CHA-4.E Determine net change using definite integrals in applied contexts.
  • CHA-4.E.1 The definite integral can be used to express information about accumulation and net change in many applied contexts.
  • Enduring understanding CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.

Objective notes

2 learning objectives
ConceptAP Calculus BC