Trapezoidal Rule and Algebraic Methods - Science and Maths Assessment Answer

A brief overview of algebraic integration and introduction to why we need numeric integration.
Task 1:
Investigation of your chosen rule
How the generalised equation for your rule is used or how the method for Monte Carlos rule works.

Task 2:
Comparison of your rule, trapezoidal rule and algebraic methods
Apply all three to different examples to make comparisons about which rule works when or if one works better under different situations.
You need to create the situations you will compare. For example function type, graph shape or abstract versus function number of strips used for Simpsons rule. Etc. It is not essential to do all of these. You may just compare one and the impact it has on accuracy.
With each example solve using both rules and algebraic methods where possible. Only show the working for a few and then put answers into a table to make your comparisons.

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