simpion's 3/8 rule

defination,example,c code

1. Presentation On Simpson’s 3/8 rule Presented By: Pratiksha Sharma B.C.A. 2 nd Year

2. Content:- Simpson’s Rule SIMPSON’S 3/8 RULE Example C Program For Simpson’s 3/8th Rule using Function

3. Numerical integration Numerical integration is used to calculate a numerical approximation for the value  S the area under the curve defined by f(x )}.

4. Simpson’s Rule The midpoint rule was first improved upon by the trapezium rule. A further improvement is the Simpson's rule. Instead of approximating the curve by a straight line, we approximate it by a quadratic or cubic function.

5. Simpson’s Rule There are two variations of the rule: Simpson’s 1/3 rule and Simpson’s 3/8 rule.

6. SIMPSON’S 3/8 RULE Simpson's 3/8 rule is another method for numerical integration proposed by Thomas Simpson. It is based upon a cubic interpolation rather than a quadratic interpolation. It is also known as Simpson's 2nd rule. In this rule, y(x) is a polynomial of degree 3. If the number of strips is divisible by three we can use the 3/8 rule.

7. SIMPSON’S 𝟑 /𝟖 RULE(USE WHEN N=MULTIPLE OF THREE )

8. C Program For Simpson’s 3/8th Rule using Function

9. Output