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Rules of Integration for Definite Integral
  Definite Integral Properties

Rules of Integration for Definite Integral

In order to simplify the task of finding integrals, some general rules are developed to help finding definite integrals with having to use the definition directly.

Definite Integral Properties

Some useful properties of definite integrals

  1. Definite integral as limit of function sum

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    Proof:

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  2. additivity of intervals

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    Proof:

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  3. zero length of interval

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    Proof:

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  4. reversing of limits

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    Proof:

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  5. subtraction of intervals

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    Proof:

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  6. Constant Multiple Rule of definite integral

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    Proof:

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  7. Constant Multiple Rule of Identity function of definite integral

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    Proof:

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  8. Constant Rule of zero function of definite integral

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    Proof:

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  9. Sum of Functions Rule of definite integral

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    Proof:

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  10. Difference of Functions Rule of definite integral

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    Proof:

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References

  1. S. James, 1999, Calculus, Brooks/Cole Publishing Co., USA
  2. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering, Blackie & Son Limited, HongKong
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ID: 111000019 Last Updated: 10/22/2011 Revision: 1 Ref:

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