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Math Help - Integration

  1. #1
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    Cool Integration

    y = (1/10)coshxarctan(sinhx)

    Find the integral of coshxarctan(sinhx) dx

    How should i approach this?
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  2. #2
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    Hello,
    Quote Originally Posted by Erghhh View Post
    y = (1/10)coshxarctan(sinhx)

    Find the integral of coshxarctan(sinhx) dx

    How should i approach this?
    Notice that the derivative of sinh(x) is precisely cosh(x)
    In this case, substitution is the best way.

    Substitute t=sinh(x) : it will eliminate cosh(x)

    Then, you're left with the integral of arctan(t)
    which can be done with an integration by parts, or again an substitution : t=tan(u)

    Don't forget to substitute back once you're finished !
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