(a) Sketch the graphs of the functions y=sin^(2)(x) and y=sin^(2)(3x) for 0<=x<=2pi , respectively. (Use an online graphing calculator to help you.) On each graph, shade the area which the function encloses with the x-axis on that interval.
(b) Using two separate integrals, compute the shaded areas from (a). How do the two areas compare? Show your work, as always. (These will both be trig integrals.)
a) Sketch the graphs of the functions y=sin and y=sin23x for 0 x2,respectively.(Use an online graphing calculator to help you.) On each graph, shade the area which the function encloses with the -axis on that interval. (b) Using two separate integrals, compute the shaded areas from (a) How do the two areas compare? Show your work, as always. (These will both be trig integrals.