2. a) Using MS Excel, integrate the erf function between 0 and e using both the trapezoidal and Simpons rule with an interval width of 0.1. [80%] b) Calculate the % relative error in each case, using the inbuilt function as the means by which the exact solution is calculated. [20%] Note: To aid in marking, please include an outline of your methodology (including key MS Excel equations used) here. Presenting final answers is insufficient in demonstrating your work.

a) Using MS Excel, integrate the erf function between 0 and e using both the trapezoidal and Simpon's rule with an interval width of 0.1 . [80%] b) Calculate the % relative error in each case, using the inbuilt function as the means by which the 'exact' solution is calculated. [20%] Note: To aid in marking, please include an outline of your methodology (including key MS Excel equations used) here. Presenting final answers is insufficient in demonstrating your work