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Math Help - solving arc lenggth of an exp eqn

  1. #1
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    solving arc lenggth of an exp eqn

    how do you find the arc length for
    y = a/2 ( exp (a/2) + exp(-a/2)) from x=0 to x=a?

    i got stuck at solving the

    integration ( 1/2 +1/4 exp(2x/a) + 1/4 exp( -2x/a) )^(1/2)..
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  2. #2
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    Quote Originally Posted by alexandrabel90 View Post
    how do you find the arc length for
    y = a/2 ( exp (a/2) + exp(-a/2)) from x=0 to x=a? Mr F says: Where are the x's meant to be in your rule for y? And why is it a/2 here and 2/a in your expression below?

    i got stuck at solving the

    integration ( 1/2 +1/4 exp(2x/a) + 1/4 exp( -2x/a) )^(1/2)..
    Note that 2 + e^{2x/a} + e^{-2x/a} = \left( e^{x/a} + e^{-x/a}\right)^2.
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