Numerical Methods Coursework

... For this coursework, I am going to use knowledge of numerical methods to produce an approximation to an area which does not have an analytic solution. Problem . I would be finding the approximation of the integral on the graph between the shaded portion of the graph above which is from 0 to 1 using numerical integration. This problem was chosen because it cannot be integrated by any analytical method, therefore approximation method would be used. Due to this I suggest that this problem will be appropriate for numerical solution. Strategy To solve this problem, I am going to use knowledge of numerical integration studied in the Numerical Methods textbook. Numerical integration is a method used to approximate an area under the graph. According to syllabus on NM module, the approximate methods of definite integrals may be determined by numerical integration using; 1. Mid - point rule 2. Trapezium rule 3. Simpson's rule Since there are

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