Task 2 Task 2.1 Apply the rules for definite integration to two engineering problems that involve summation (M3) The mean the value (y) of a periodic function f(x) may be obtained from; 1 b a f(x).dx Determine the mean value of the function; f(x) = 5 sin(x) in the range x = 0 to x = Task 2.2 A sliding mechanism in a machine moves with a velocity given by the expression dx 10t2 +0.8t mm/s at dx where = velocity(v) dt Using integration, determine the distance that the mechanism moves between 0.1 and 0.5 seconds.