- #1
lch7
- 17
- 0
1. Homework Statement
I need some help with a surface area of a solid. The solid is made from rotating the line y=x^2 around the x axis. So it's sort of like a cone or a horn. Here are my steps:
2. Homework Equations
Surface of revolution formula
Integrate 2∏r times the square root of 1 plus the derivative squared (dx).
3. The Attempt at a Solution
2[itex]\pi[/itex] [itex]\int[/itex] x[itex]^{2}[/itex] [itex]\sqrt{1+2x^2}[/itex]
This is the surface of revolution concept of course. How do I integrate this? Should I make the square root a power of .5??
I need some help with a surface area of a solid. The solid is made from rotating the line y=x^2 around the x axis. So it's sort of like a cone or a horn. Here are my steps:
2. Homework Equations
Surface of revolution formula
Integrate 2∏r times the square root of 1 plus the derivative squared (dx).
3. The Attempt at a Solution
2[itex]\pi[/itex] [itex]\int[/itex] x[itex]^{2}[/itex] [itex]\sqrt{1+2x^2}[/itex]
This is the surface of revolution concept of course. How do I integrate this? Should I make the square root a power of .5??