The extension, y, of a material with an applied force, F, is

given by y = e^Fx1x10-3

a) Calculate the work done if the force increases from 100N to 500N using:

i) An analytical integration technique

ii) A numerical integration technique

[Note: the work done is given by the area under the curve]

b) Compare the two answers

c) Using a computer spreadsheet increase the number of values used for your numerical method

d) Analyse any affect the size of numerical step has on the result.