How do you find the area of the surface generated by rotating the curve about the x-axis #x=t^2+t, y=2t+1, 0<=t<=1#? Calculus Applications of Definite Integrals Determining the Surface Area of a Solid of Revolution 1 Answer Frederico Guizini S. Nov 8, 2017 See the answer below: Answer link Related questions How do you find the surface area of a solid of revolution? How do you find the surface area of the solid obtained by rotating about the #y#-axis the region... How do you find the surface area of the solid obtained by rotating about the #x#-axis the region... How do you find the surface area of the solid obtained by rotating about the #x#-axis the region... How do you find the surface area of the solid obtained by rotating about the #y#-axis the region... How do you find the surface area of the solid obtained by rotating about the #x#-axis the region... How do you find the surface area of the solid obtained by rotating about the #x#-axis the region... How do you find the surface area of the part of the circular paraboloid #z=x^2+y^2# that lies... How do you determine the surface area of a solid revolved about the x-axis? How do you find the centroid of the quarter circle of radius 1 with center at the origin lying... See all questions in Determining the Surface Area of a Solid of Revolution Impact of this question 5359 views around the world You can reuse this answer Creative Commons License