Activity Detail

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Integration - Advanced Placement
 


Activity Overview

In this activity, students learn and explore two types of integrals: Indefinite and Definite.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 33 - 37 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:
    Indefinite Integral:
  • Enter the integral and integrate
  • Obtain solution with constant 'c'


  • Definite Integral:
  • Enter the function and graph it
  • Enter the upper and lower limits and evaluate the definite integral
  • Compute the area under the curve of the graph of the function


  • An integral Formula:
  • Enter the function and integrate with undeclared variables in the limits


  • Symbolic Limits in a Definite Integral:
  • Use the integrate command and evaluate the definite integral


    After the Activity

    Students will complete the practice exercise problems.

    Review student results:
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary


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    Subject Area:
    Math : Calculus : Integrals, Antiderivatives and Indefinite Integrals

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-89 / TI-89 Titanium

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 4 from the EXPLORATIONS Book:
    Advanced Placement Calculus with the TI-89.

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