# Determining the Surface Area of a Solid of Revolution - Page 3

Questions

- How do you find the area of the surface generated by rotating the curve about the y-axis #y=x^2, 0<=x<=2#?
- What is the surface area produced by rotating #f(x)=abs(1-x), x in [0,3]# around the x-axis?
- What is the surface area produced by rotating #f(x)=3x^3+6x^2-2x+3, x in [-3,2]# around the x-axis?
- What is the surface area produced by rotating #f(x)=x^3-x^2+1, x in [0,3]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x)=e^(x^2+x-1)/(x+1)# over #x in [0,1]# around the x-axis?
- What is the surface area produced by rotating #f(x)=(1-x)/(x^2+6x+9), x in [0,3]# around the x-axis?
- What is the surface area produced by rotating #f(x)=tanx-cos^2x, x in [0,pi/4]# around the x-axis?
- How do you determine the surface area of a solid revolved about the x-axis?
- What is the surface area of the solid created by revolving #f(x) =e^(2-x) , x in [1,2]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = 2x^2-5x+15 , x in [2,3]# around the x axis?
- How do you find the surface area of the solid obtained by rotating about the #x#-axis the region bounded by #9x=y^2+18# on the interval #2<=x<=6# ?
- What is the surface area of the solid created by revolving #f(x) = x^2-x , x in [2,7]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) =e^(4x)-e^(2x) , x in [1,2]# around the x axis?
- What is the surface area produced by rotating #f(x)=2/x-1/x^2, x in [1,3]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x) =e^(3x-2) , x in [1,2]# around the x axis?
- Find the parameterization of the surface area given by #z = x^2 - 2x + y^2#?
- What is the surface area of the solid created by revolving #f(x)=sqrt(4x)# for #x in [0,1]# around the x-axis?
- What is the surface area produced by rotating #f(x)=x/pi^2, x in [-3,3]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x) = e^(x)/2 , x in [2,7]# around the x axis?
- How do you find the surface area of the part of the circular paraboloid #z=x^2+y^2# that lies inside the cylinder #x^2+y^2=1#?