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Grade: 12th Pass


What is simpson 3 /8th rule

What is simpson 3/8th rule

8 years ago

Answers : (1)

Aman Bansal
592 Points

Dear Nilesh,

Theorem  (Simpson''s 3/8 Rule)  Consider [Graphics:Images/Simpson38RuleMod_gr_1.gif] over [Graphics:Images/Simpson38RuleMod_gr_2.gif], where [Graphics:Images/Simpson38RuleMod_gr_3.gif], [Graphics:Images/Simpson38RuleMod_gr_4.gif]and [Graphics:Images/Simpson38RuleMod_gr_5.gif].  Simpson''s 3/8 rule is   


This is an numerical approximation to the integral of 
[Graphics:Images/Simpson38RuleMod_gr_8.gif] over [Graphics:Images/Simpson38RuleMod_gr_9.gif] and we have the expression  


The remainder term for Simpson''s 3/8 rule is  [Graphics:Images/Simpson38RuleMod_gr_11.gif],  where [Graphics:Images/Simpson38RuleMod_gr_12.gif] lies somewhere between [Graphics:Images/Simpson38RuleMod_gr_13.gif], and have the equality  


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Aman Bansal

Askiitian Expert


8 years ago
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