Changes

In [[calculus]], solids are formed by rotating a curve around an axis and integrating to find the volume.  Typically the [[integration]] is of slices cut vertically to the axis of the rotation that formed the solid.  Those slices are then integrated from one end of the solid to the other.

In [[calculus]], '''solids''' are formed by rotating a curve around an axis and integrating to find the volume.  Typically the [[integration]] is of slices cut vertically to the axis of the rotation that formed the solid.  Those slices are then integrated from one end of the solid to the other.

== Example ==

== Example ==

Recall that:

Recall that:

:<big><big><math>\int\sec^2{x}\,dx = \tan{x}</math></big></big>

:<big><math>\int\sec^2{x}\,dx = \tan{x}</math></big>

and the solution to the overall integral becomes obvious.

and the solution to the overall integral is easy to obtain.

[[category:mathematics]]

[[Category:Mathematics]]

[[category:calculus]]

[[Category:Calculus]]