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Calculus

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# Content

``` 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 Proof: 2. additivity of intervals Proof: 3. zero length of interval Proof: 4. reversing of limits Proof: 5. subtraction of intervals Proof: 6. Constant Multiple Rule of definite integral Proof: 7. Constant Multiple Rule of Identity function of definite integral Proof: 8. Constant Rule of zero function of definite integral Proof: 9. Sum of Functions Rule of definite integral Proof: 10. Difference of Functions Rule of definite integral Proof: ©sideway 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 ID: 111000019 Last Updated: 10/22/2011 Revision: 1 Ref: Home (5)

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