10.2 Parametric Equations & Polar Coordinates
Calculus With Parametric Curves
Question #6 (Medium): Integral for Surface Area From Parametric Equations
When Working with parametric equations, the surface area of the curve rotated about the -axis is
given by: ∫ √( ) ( ) , where ( ) and ( )
Set an integral that represents the surface area obtained by rotating the given curve about the -axis.
Then find the exact surface area.
In order to find the surface area from the curve rotated about the x-axis base on the parametric
equations, firstand are needed. and . Given
√ ( ) ( ) the integral will