1. The tasks are to: a} Find the indefinite integral of the function 1 y = t3 + 2c\" +E+ EsinZt b] Calculate the denite integral 3 1 I (r3 + 2:\" +E+ 351n2tjo'i: 1 2. An object ls moving with a uniform acceleration r1 = Emsz, determine the functions for: a} Velocity tints11 given tti) = 12 fits1 h} Displacement slim]; given cm) = E m c] Calculate the values of at and s for: i] r = 1 3 ii] i: = at s 3. The extension, 3;, of a material with an applied force, F, ls given by 3r = Entxtn'3_ a} Calculate the wort: done if the force increases from too" to soon using: i] An analytical integration technique ii} A numerical integration tedtnique (Note: the work done Is given by the area under the curve] h] Corn pare 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 ruit: 4. For the function v = 12 sin 40, calculate the: a) Mean b) Root mean square (RMS) Over a range of 0 0