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September 20, 2014

Homework Help: Is this how you derive the formula for arc length?

Posted by Rob on Tuesday, December 4, 2007 at 2:44am.

For a smal change in x, dx:

ds = dx + dy

ds = sqrt [(dx + dy)]

s = INTEGRAL of sqrt [(dx + dy)]

s = INTEGRAL of sqrt [(dx + dy * dx/dx)]

s = INTEGRAL of sqrt[(1 + dy * 1/dx)] dx

s = INTEGRAL of sqrt[(1 + (dy/dx))] dx

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