Consider the area under one arch of the curve y(t) = 8sin(bt) for t ? 0 where b is a positive constant.

Consider the area under one arch of the curve y(t) = 8sin(bt) for t 2 0 where b is a positive constant. (a) Set up the definite integral needed to find the area. dt (b) Make an appropriate substitution. W= dw = (c) Write the definite integral in terms of w. dw (d) Evaluate the integral in part (c)