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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 <big><math>y = (\sec{x})(\tan{x})</math></big>, 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>.
[[category:mathematics]]
[[category:calculus]]
== Example ==
Consider the region in the first quadrant that has an upper bound of <math>y = \sqrt 2</math> and a lower bound of <big><math>y = (\sec{x})(\tan{x})</math></big>, 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>.
[[category:mathematics]]
[[category:calculus]]