Find the volume of the solid generated by rotating about the y-axis the region under the curve , from to .

Find the volume of the solid generated by rotating about the y-axis the region under the curve , from to .

Find the volume of the solid generated when the function

is revolved around the x-axis on the interval .

Hint: Use the method of cylindrical disks.

Approximate the volume of a solid in the first quadrant revolved about the y-axis and bounded by the functions: and . Round the volume to the nearest integer.

Find the area bound by the curve of g(t), the x and y axes, and the line

Find the volume of the solid generated when the function

is revolved around the x-axis on the interval .

Hint: Use the method of cylindrical disks.

Approximate the volume of a solid in the first quadrant revolved about the y-axis and bounded by the functions: and . Round the volume to the nearest integer.

Find the area bound by the curve of g(t), the x and y axes, and the line

Find the total distance traveled by a particle along the curve from to .

Determine the length of the following function between