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Math Help - Integration Problem - # 2

  1. #1
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    Integration Problem - # 2

    \int \dfrac{\sec x }{\sqrt{\ln(\sec x + \tan x)}} dx

    hint?

    I do know the integral of \sec x + \tan x is \sec x, but the \ln thing is causing a problem, as well as the square root.
    Last edited by Jason76; August 31st 2014 at 05:25 AM.
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  2. #2
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    Re: Integration Problem - # 2

    u = \ln(\sec{x} + \tan{x})

    du = \sec{x} \, dx

    substitute ...
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    Re: Integration Problem - # 2

    \int \dfrac{\sec x }{\sqrt{\ln(\sec x + \tan x)}} dx

    u = \sec x \tan x

    du = \sec x dx

    \int \dfrac{du }{\sqrt{\ln(u)}} ??? Next step?
    Last edited by Jason76; August 31st 2014 at 01:47 PM.
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  4. #4
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    Re: Integration Problem - # 2

    If u= ln(sec(x)+ tan(x)), what is du in terms of dx?

    Do you know the derivatives of sec(x) and tan(x)?
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  5. #5
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    Re: Integration Problem - # 2

    Quote Originally Posted by Jason76 View Post
    \int \dfrac{\sec x }{\sqrt{\ln(\sec x + \tan x)}} dx

    u = \sec x \tan x

    du = \sec x dx

    \int \dfrac{du }{\sqrt{\ln(u)}} ??? Next step?
    NO! Read Skeeter's post properly!
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