Numerical Integration

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My report on NUMERICAL METHODS subject.

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Numerical Integration

  1. 1. NUMERICAL Owe n A. Ran a , Ia nINTEGRATION
  2. 2. NUMERICAL INTEGRATIONIntegral Calculus - is the branch ofcalculus which deals with functions to beintegrated.Integration is the reverse process ofdifferentiation. The function to beintegrated is referred to as integrandwhile the result of an integration is calledintegral.
  3. 3. NUMERICAL INTEGRATIONThe Integral symbol is an elongated S - denotingsum, was introduced by Leibniz, who namedintegral calculus as calculus summatorious.TYPES1. Definite Integral – defined by the limit values a & b of the independent variable.2. Indefinite/Primitive Integral – an integral with no restrictions imposed on its independent variable.
  4. 4. NUMERICAL INTEGRATIONDEFINITE INTEGRAL INDEFINITE INTEGRAL
  5. 5. NUMERICAL INTEGRATIONUSES:1. How to find the Area2. How to locate the Centroid3. How to find the Arc Length of a Graph4. How to find the Surface Area of a Solid5. How to find the Volume of a Solid Figure6. How to Solve for the Work Done7. How to Solve the Moment of Inertia
  6. 6. NUMERICAL INTEGRATION
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  11. 11. NUMERICAL INTEGRATION● Describe customer needs and wishes● Explain the requirements
  12. 12. NUMERICAL INTEGRATION● Describe the main attributes of the product● Link the product attributes to customer needs
  13. 13. NUMERICAL INTEGRATION
  14. 14. NUMERICAL INTEGRATION● Summarize the special features and advantages of the product being introduced
  15. 15. NUMERICAL INTEGRATION● Explain the steps that now need to be taken
  16. 16. NUMERICAL INTEGRATION
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  28. 28. Nmer meth is not an elegant u ical odssubject. It is a lot oftech detailand nicaldir w k. Bu itisth w w sol mostofth r ty or t e ay e ve e eal w l pr l ord obems. h w .pu l ttp://w w bic.asu.edu h u /~ hang38/M E .h A 384 tml
  29. 29. Thank You!!! :)
  30. 30. Questions??? :)

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