# Length of curve

Using the formula for the length of a curve y=f(x) from a to b

L=∫√(1 + (dy/dx)Â²)dx

Find the length of the curve:

x=(yÂ³′Â²∕3)- yÂ¹′Â²

from y =1 to y=9

Hint: 1 + (dx/dy)Â² is a perfect square.

https://brainmass.com/math/integrals/length-of-curve-65518

#### Solution Summary

This show show to use a given integral formula to find the length of the curve.

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