Solids
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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
Consider the region in the first quadrant that has an upper bound of <math>y = \sqrt 2</math> and a lower bound of <math>y = (\sec{x})(\tan{x})</math>, and on the left side by the y-axis. Find the volume of the solid formed by rotating the region about the line <math>y = \sqrt 2</math>.