## Quick Reference

Let *y*=*f*(*x*) be the graph of a function *f* such that *f*′ is continuous on [*a*, *b*]. The length of the arc, or arc length, of the curve *y*=*f*(*x*) between *x*=*a* and *x*=*b* equals

Parametric form

For the curve *x*=*x*(*t*), *y*=*y*(*t*) (*t* ∈ [*α*, *β*]), the arc length equals

Polar form

For the curve *r*=*r*(*θ*) (*α*≤*θ*≤*β*), the arc length equals

*Subjects:*
Mathematics.