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Finding lengths of curves

  1. Feb 22, 2014 #1
    I am just learning how to find lengths of curves using calculus. √((dx)2+(dy)2)→∫√(1+(dy)2)dx. My question is how are you able to bring out the dx. Is this some sort of algebraic trick I've never heard of. Can someone please explain this to me?
  2. jcsd
  3. Feb 22, 2014 #2
    nevermind, you just multiply by dx/dx
  4. Feb 23, 2014 #3


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    Science Advisor

    You should have √(1+(dy/dx)²) for the second integrand.
  5. Mar 11, 2014 #4
    It is [{1+(dy/dx)^2}^0.5]dx = Length of curve
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