Let R be the region enclosed by the x-axis, the y-axis, the linex = 2 , and the curve ? = 2?? +3?
(1) Find the area of R by setting up and evaluating theintegral.
(2) Write, but do not evaluate, the volume of the solidgenerated by revolving R around
the y-axis
(3) Write, but do not evaluate the volume of the solid generatedby revolving R around
the x-axis
(4) Write, but do not evaluate the volume of the solid generatedby revolving R around
the line x = 4
(5) Write, but do not evaluate the volume of the solid generatedsuch that each cross
section is a rectangle with base on R and the other side fourtimes the base.
(6) Write, but do not evaluate the volume of the solid generatedsuch that each cross
section is a semicircle with diameter on R.
(7) Write, but do not evaluate the volume of the solid generatedsuch that each cross
section is an equilateral triangle with side on R.
(8) Write, but do not evaluate the volume of the solid generatedsuch that each cross
section is an isosceles right triangle with height on R.
(9) Write, but do not evaluate the perimeter of the R.
