The Velocity v(t) of a particle at time t seconds is given by v(t)=2t + Cos 2t. The graph of v(t) is given.[br][br]Find the distance travelled by the particle for different times and see what happens when:[br]i) a < b[br]ii) a>b[br]iii) a=b[br]Each time use different values of n (number of rectangles) and see what happens to the Upper Sum and the Lower sum and to the Integral value.[br][br]Use the pen option( in the text icon on geogebra) to sketch the graph of the distance vs t.