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Calculus: The Second Fundamental Theorem of Calculus
by Texas Instruments - Action Consequence Lesson

Updated on July 03, 2014

Objectives

Identify the graphical connections between a function and its accumulation function

  • For a given function, recognize the accumulation function as an antiderivative of the original function
  • Apply and explain the second Fundamental Theorem of Calculus

Vocabulary

  • accumulation function
  • definite integral
  • antiderivative

About the Lesson

The intent of this lesson is to help students make visual connections between a function and its definite integral. As a result, students will:

  • Use the accumulation function with a fixed starting point to find definite integrals of a function over different intervals.
  • Observe that the accumulation function is an antiderivative of the original function.
  • Apply the antiderivative property of the accumulation function in combination with their use of the accumulation function to determine a definite integral.
  • Conclude with stating and applying an informal statement of the second Fundamental Theorem of Calculus.