Numerical Integration
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This document discusses numerical integration. It defines integral calculus as dealing with functions to be integrated, and notes that integration is the reverse of differentiation. It describes the integral symbol and states that integration can be definite or indefinite. It lists several uses of integration, such as finding the area under a curve or the volume of a solid. The document does not provide clear summaries.
Numerical Integration
- 1. NUMERICAL Owe n A. Ran a , Ia n INTEGRATION
- 2. NUMERICAL INTEGRATION Integral Calculus - is the branch of calculus which deals with functions to be integrated. Integration is the reverse process of differentiation. The function to be integrated is referred to as integrand while the result of an integration is called integral.
- 3. NUMERICAL INTEGRATION The Integral symbol is an elongated S - denoting sum, was introduced by Leibniz, who named integral calculus as calculus summatorious. TYPES 1. 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. NUMERICAL INTEGRATION DEFINITE INTEGRAL INDEFINITE INTEGRAL
- 5. NUMERICAL INTEGRATION USES: 1. How to find the Area 2. How to locate the Centroid 3. How to find the Arc Length of a Graph 4. How to find the Surface Area of a Solid 5. How to find the Volume of a Solid Figure 6. How to Solve for the Work Done 7. How to Solve the Moment of Inertia
- 11. NUMERICAL INTEGRATION ● Describe customer needs and wishes ● Explain the requirements
- 12. NUMERICAL INTEGRATION ● Describe the main attributes of the product ● Link the product attributes to customer needs
- 14. NUMERICAL INTEGRATION ● Summarize the special features and advantages of the product being introduced
- 15. NUMERICAL INTEGRATION ● Explain the steps that now need to be taken
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- 29. Thank You!!! :)
- 30. Questions??? :)