6.2 Integral Applications
Question #3 (Medium): Interpreting the Volume of a Solid
Given the integral expression for volume: ∫ , it is not hard to separate the
components that make up the , the height of and the interval [ ]. If the integral is in
terms of and , the area is rotated about a horizontal line. If the integral is written in terms , and ,
then the rotation is about a vertical line.
Volume of a solid is expressed by the integral. Describe the solid.
∫ [ ]
Volume of a solid using integral is expressed as: ∫ ,
So the expression inside the give