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Math Help - solution to integral

  1. #1
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    solution to integral

    Hi - can anyone help me to integrate

    sqrt(1+(aSin(x))^2)

    thanks in advance....
    gary
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  2. #2
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    Quote Originally Posted by sheridan500 View Post
    Hi - can anyone help me to integrate

    sqrt(1+(aSin(x))^2)

    thanks in advance....
    gary
    Where has this integral come from? It can't be found in terms of finite number of elementary functions. The solution involves involves an Elliptic Integral of the Second Kind. Do you want to go there?
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  3. #3
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    Thanks for the quick response. The integral comes from my attempt to find the length of a section of a sine wave (ie along the curve) using the line integral formula....is there a simple way to do this?
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  4. #4
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    Quote Originally Posted by sheridan500 View Post
    Thanks for the quick response. The integral comes from my attempt to find the length of a section of a sine wave (ie along the curve) using the line integral formula....is there a simple way to do this?
    You can get an approximate answer using a numerical method. Otherwise:

    Quote Originally Posted by mr fantastic View Post
    [snip]
    The solution involves involves an Elliptic Integral of the Second Kind. Do you want to go there?
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  5. #5
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    thanks for your help regards - gary
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