1. Use a for loop to print values of the first 100 perfect cubes (whole numbers raised to
the third power).
2. Use a for loop to implement
a. Left endpoint rule
b. Midpoint rule
c. Right endpoint rule
to approximate the definite integral
Z π
2
0
cos8 xdx
with a regular partition
0 = x0 < x1 < x2 < x3 < x4 < x5 < x6 < x7 < x8 < x9 < x10 =
π
2
xi = ih, i = 0, 1, 2, . . . , 10, and, h =
π
20
