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NUMERICAL
              Owe n A.
 Ran a , Ia n

INTEGRATION
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.
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.
NUMERICAL INTEGRATION




DEFINITE INTEGRAL   INDEFINITE INTEGRAL
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
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION

●   Describe customer needs and wishes
●   Explain the requirements
NUMERICAL INTEGRATION

●   Describe the main attributes of the product
●   Link the product attributes to customer
    needs
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION

●   Summarize the special features and
    advantages of the product being introduced
NUMERICAL INTEGRATION

●   Explain the steps that now need to be taken
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
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Thank You!!! :)
Questions??? :)

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Numerical Integration