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Math Help - finding the integral-natural log

  1. #1
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    finding the integral-natural log

    \int {\ln (\sqrt x  + \sqrt {1 + x} )dx} <br />
    I am thinking possibly a u sub but I have no idea what I could sub in.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by genlovesmusic09 View Post
    \int {\ln (\sqrt x + \sqrt {1 + x} )dx} <br />
    I am thinking possibly a u sub but I have no idea what I could sub in.
    Try by parts with

    u=\ln(\sqrt{x}+\sqrt{x+1})

    dv=1dx
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  3. #3
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    would the derivative of u=ln(sqrtx + sqrt1+x) be:
    \frac{{\frac{1}<br />
{{2\sqrt x }} + 1}}<br />
{{x + \sqrt x  + 1}}<br />
    and if so how would i integrate that (timeing it by v=x)?
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  4. #4
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    Quote Originally Posted by VonNemo19 View Post
    Try by parts with

    u=\ln(\sqrt{x}+\sqrt{x+1})

    dv=1dx
    what would du be?
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