# Determining the Surface Area of a Solid of Revolution - Page 4

Questions

- What is the surface area produced by rotating #f(x)=1/x-1/(x+3), x in [1,3]# around the x-axis?
- How do you find the area of the surface generated by rotating the curve about the y-axis #x=2t+1, y=4-t, 0<=t<=4#?
- How do you find the surface area generated when the curve #y=sqrt(r^2-x^2), 0<=x<=a# is rotated about the x axis?
- What is the surface area of the solid created by revolving #f(x) = 1/(x+e^x) , x in [3,4]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = 2x^2+3 , x in [1,4]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = (x-9)^2 , x in [2,3]# around the x axis?
- What is the surface area produced by rotating #f(x)=2x^2+4x+3, x in [0,3]# around the x-axis?
- What is the surface area of the solid created by revolving #f(t) = ( t^3-3t+4, t^3-2t, t 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 #x=1+2y^2# on the interval #1<=y<=2# ?
- What is the surface area produced by rotating #f(x)= xtan2x -tanx , x in [pi/12,(11pi)/12]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x) = lnx , x in [2,3]# around the x axis?
- What is the surface area produced by rotating #f(x)=sinx/cosx, x in [0,pi/4]# around the x-axis?
- How do you find the area of the surface generated by rotating the curve about the x-axis #y=1/3x^3, 0<=x<=1#?
- What is the surface area of the solid created by revolving #f(x) =2x^3-2 , x in [2,4]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) =e^(4x)-x^2e^(2x) , x in [1,2]# around the x axis?
- How do you find the exact area of the surface obtained rotating the curve about the #x#-axis of #y=sqrt(8-x)#, #2<=x<=8#?
- What is the surface area produced by rotating #f(x)=1-x, x in [0,3]# around the x-axis?
- What is the surface area produced by rotating #f(x)=2/(e^x-3), x in [0,2]# around the x-axis?
- What is the surface area produced by rotating #f(x)=1/e^(x^2), x in [-1,1]# around the x-axis?
- How do you find the surface area of the solid obtained by rotating about the #y#-axis the region bounded by #y=1-x^2# on the interval #0<=x<=1# ?