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**Weddle's Rule**is a method of integration, the Newton-Cotes formula with N=6. INTRODUCTION: ? Numerical integration is the process of computing the value of definite integral from a set of numerical values of the integrand. The process is sometimes referred as mechanical quadrature.

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Beside this, what is Simpson's 1/3rd rule?

In numerical analysis, **Simpson's 1**/**3 rule** is a method for numerical approximation of definite integrals. Specifically, it is the following approximation: In **Simpson's 1**/**3 Rule**, we use parabolas to approximate each part of the curve.We divide. the area into n equal segments of width Δx.

Furthermore, what is H in trapezoidal rule? The **Trapezium Rule**. The **trapezium rule** works by splitting the area under a curve into a number of trapeziums, which we know the area of. If we want to find the area under a curve between the points x_{0} and x_{n}, we divide this interval up into smaller intervals, each of which has length **h** (see diagram above).

Similarly, what does Simpson's rule do?

**Simpson's Rule is** a numerical method for approximating the integral of a function between two limits, a and b. It's based on knowing the area under a parabola, or a plane curve. In this **rule**, N **is** an even number and h = (b - a) / N. The y values **are** the function evaluated at equally spaced x values between a and b.

Why we use Simpson's rule?

**Simpson's Rule**. Since **it uses** quadratic polynomials to approximate functions, **Simpson's rule** actually gives exact results when approximating integrals of polynomials up to cubic degree.