1. The tasks are to: a) Find the indefinite integral of the function y =t3 + 2e# +=+ 3sin2t b) Calculate the definite integral S' ( 13 + 2e# + 7 + 3 sin 2t) at 2. An object is moving with a uniform acceleration a = 3 ms-2, determine the functions for: a) Velocity v(ms-1), given v(0) = 12 ms-1 b) Displacement s(m), given s(0) = 6m c) Calculate the values of v and s for: i) t= 1s ii) t = 4s 3. The extension, y, of a material with an applied force, F, is given by y = efx1x10- a) Calculate the work done if the force increases from 100N to 600N 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