you will use numerical integration techniques to determine the area under at least two given curves, using each of the following approaches. You then need to compare the results:
Mid-ordinate rule
Trapezium rule
Simpson’s rule
Curve one is represented by the equation
y = 2cosƟ - 1 between Ɵ = 0 and Ɵ = p radians (180º)
Curve two is represented by the equation
= x2 - 3x between x = 3 and x = 7
You then need to evaluate the results of your numerical integration, considering how variables could be optimised for differential functions, considering variations in results achieved from integration using calculus and numerical methods.