## Quick Reference

Let *y*=*f*(*x*) be the graph of a function *f*, a continuous function on [*a*, *b*], and such that *f*(*x*)≥0 for all *x* in [*a*, *b*]. The volume *V* of the solid of revolution obtained by rotating, through one revolution about the *x*-axis, the region bounded by the curve *y*=*f*(*x*), the *x*-axis and the lines *x*=*a* and *x*=*b*, is given by

Parametric form

For the curve *x*=*x*(*t*), *y*=*y*(*t*) (*t* ϵ [*α*, *β*]), the volume *V* is given by

*Subjects:*
Mathematics.

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