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Properties of Definite Integrals

Properties of Definite Integrals. Objectives. Students will be able to Calculate a definite integral using the properties of definite integrals. Calculate the area between a curve and the x -axis over a given interval. Use definite integrals to application problems.

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Properties of Definite Integrals

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  1. Properties of Definite Integrals

  2. Objectives Students will be able to • Calculate a definite integral using the properties of definite integrals. • Calculate the area between a curve and the x-axis over a given interval. • Use definite integrals to application problems.

  3. Properties of Definite Integrals

  4. Properties of Definite Integrals

  5. Example 1 Evaluate the definite integral

  6. Example 2 Evaluate the definite integral

  7. Example 3 Use the definite integral to find the area between the x-axis and over the interval

  8. Example 4 Evaluate the definite integral for

  9. Example 5 The average annual increment in the horn length (in centimeters) of bighorn rams born since 1986 can be approximated by where x is the ram’s age (in years) for x between 3 and 9. Integrate to find the total increase in length of a ram’s horn during this time.

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