show working out please

2) To this end Ivelisse would like you practice your definite integration skills and compare them to the alternative of using summation to arrive at the same answer a) For the first example during start-up part of a machine moves with a velocity given by the equation: v = 7t - 0. 8tmm/s Plot a graph of v (vertical) against t (horizontal) and show on it what represents the displacement covered between 5 seconds and 12 seconds.ii) Calculate using definite integration the displacement covered between the 5 seconds and 12 seconds of motion. iiij Estimate using a summation method the displacement covered between the 5 seconds and 12 seconds of motion iv) Comment on how the calculated and estimated values compare and the respective ease of use and accuracy of the two methods. b) For the second example the current in a circuit is related to time by the following equation: I = - sin(2t) + 3 Hint: Q = It where Q =charge, / =current, t =time i) Calculate using definite integration the charge developed in the circuit from 0.2 to 0.7 seconds. ii) Estimate using summation the charge developed in the circuit from 0.2 to 0.7 seconds. iii) Comment on how the calculated and estimated values compare and the respective ease of use and accuracy of the two methods. Your colleague tells you that the operation of a smoothing capacitor depends on its charging and discharging characteristics and these are what you should investigate. They show the results of a simple experiment in which a capacitor was connected in series with a resistor and then charged up from a DC supply. The voltage across the capacitor was measured and