calculus needed

1.) find the area or the region bounded by the curves y = x^3 and y = 9x.
a. 0
b. 10.13
c. 40.50
d. 20.25

2.)the region in the first quadrant bounded by the x-axis, the line x = π, and the curve y = sin(sin(x)) is rotated about the x-axis. what is the volume of the generated solid?
a. 1.219
b. 3.830
c. 1.786
d. 5.612

1. The given curves intersect one another three times:

The area of the bounded region is

is odd, but the absolute value makes it even. More formally,

which means the integral is equivalent to

For , the definition of absolute value tells us that

so the integral evaluates to

2. Using the disk method, the volume is given by the integral

Use a calculator to get the result 1.219.

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.