22. find the area of the surface generated by revolving the
parametric curve about the y-axis.
x = 2 sin t + 1 , y = 2 cos t + 5 , (0) less than or equal to
(t) less than or equal to (pi/4)
I want to to calculate the area between the x-axis and the
function f(x) = sin(x) on the interval [0, pi]. The area we seek is
enclosed in a rectangle bounded by the curves. x = 0, x = pi, y =
0, y = 1. Since we know the area of the rectangle is pi, we can
generate random points inside the rectangle and keep track of how
many of those points lie below the curve y = sin(x)....