Use Simpson's rule and the Trapezoid Rule with n = 4 to approximate the integral e* dx. Also give unds on the errors for each. The graphs of 4 (e) - 4x²e*² - 2e¬x² and 4(e*) - *(4x* – 12x² + 3) are given below FYI. T4 = 05 1,0 -1 -2 |ETA| S 4x²e - 2e* y 10 S4 = 0,5 1,0 |Esa| <

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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.