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Math Help - integral:

  1. #1
    Senior Member
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    integral:

    im stuck w/ this integral:
    \int \frac{-(x+1)}{x^2+x+1}dx
    -\int\frac{x}{x^2+x+1}dx -\frac{2}{\sqrt{3}}\arctan{\frac{2x-1}{\sqrt{3}}}
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Santiago, Chile
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    The integral can be rewritten as follows:

    - \int {\frac{{x + 1}}<br />
{{x^2 + x + 1}}~dx} = - \frac{1}<br />
{2}\left[ {\ln (x^2 + x + 1) + \int {\frac{1}<br />
{{\left( {x + \dfrac{1}<br />
{2}} \right)^2 + \left( {\dfrac{{\sqrt 3 }}<br />
{2}} \right)^2 }}~dx} } \right]

    Sure you can make it from there.
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  3. #3
    Senior Member
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    oh yeahhh
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