2- Evaluite the Value of 4he next integ ration by using Ahe trapezodal rule ; Then Find the absolute 3T/20 Velative error SESIN (5Xt1)] dx S N=4 5 4D 2-640°%] Ans. I c295 ; Ia 0.303 ; aire %3D

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A:

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Q: -3 dx 1. Use the Simpson's and Trapezoidal rule with n = 4 to estimate Then compare the two results.

A:

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A: f(x) = tanx Each interval h=(b-a)/n =1-0/5=1/5 =0.2 xO=0, x1 =1/5, x2=2/5, x3=3/5,x4=4/5, x5=1…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.