Friday

August 22, 2014

August 22, 2014

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

ds² = dx² + dy²

ds = sqrt [(dx² + dy²)]

s = INTEGRAL of sqrt [(dx² + dy²)]

s = INTEGRAL of sqrt [(dx² + dy² * dx²/dx²)]

s = INTEGRAL of sqrt[(1 + dy² * 1/dx²)] dx

s = INTEGRAL of sqrt[(1 + (dy/dx)²)] dx

- Is this how you derive the formula for arc length? -
**drwls**, Tuesday, December 4, 2007 at 8:13amYes; that is one way.

- Is this how you derive the formula for arc length? -
**Matt**, Tuesday, December 4, 2007 at 11:09amin the third step, how did you integrate the right side with no delta-variable?

- Is this how you derive the formula for arc length? -
**drwls**, Tuesday, December 4, 2007 at 11:12amThere is a delta variable dx. You must compute and insert dy/dx into the integrand to get the resulting arc length

**Related Questions**

Calculus - Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=...

MATHS - Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=Int...

calculus - Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 ...

CALCULUS 2!!! PLEASE HELP!! - I'm having trouble with this question on arc ...

calc arc length - Find the length of the arc along f(x) = integral from 0 to x^3...

Calculus - A pendulum swings through an arc length of 1120 cm (Swing #1). With ...

Calculus Hard Question - A pendulum swings through an arc length of 1120 cm (...

Calculus - I know how to do this problem, but I'm stuck at the arc length ...

math - find the length of a line segment with endpoints (4, -3) and (-2, -1) The...

physics - derive the formula v0=sqrt((deltaX)squared)*g)/2*deltaY