Abstract
Numerical integration is one of several subjects in the numerical method course. Some of the integral methods known in the numerical method include the trapezoid method, Gauss Legendre, Simpson, Newton-Cotes and so on. The purpose of this research is to solve the problem of numerical integration using the trapezoidal method, the Gauss Legendre method and the simpson 1/3 method. Then compare the results and errors obtained from the three methods against the analytical value. The results showed that the Simpson 1/3 Rule gave more accurate results than the trapezoidal method, the Gauss Legendre method and the Simpson 1/3 method. This can be seen from the results and the error value obtained. The results obtained in Simpson's Rule are closer to the analytical value than the other 2 methods. Likewise for the errors that are obtained, Simpson's Rule has a smaller error. In other words, the Simpson 1/3 method has better performance than the Trapezoid and Gauss Legendre method. In addition, the application of technology in solving numerical integration can be used with the Matlab application to facilitate processing and time efficiency.
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