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Math Help - Integration Help

  1. #1
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    Integration Help

    Hi I am having problems integrating (8x+4)ln(x^2+x)/(X^2+x).
    I have tried using integration by substitution letting u=x^2+x, du=2x+1dx

    This brings me to the integral of
    int (4du- ln|u|)/u
    I cant work out what do after this point, assuming am using the correct integration technique. Thanks
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  2. #2
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    Quote Originally Posted by ollieman View Post
    Hi I am having problems integrating (8x+4)ln(x^2+x)/(X^2+x).
    I have tried using integration by substitution letting u=x^2+x, du=2x+1dx

    This brings me to the integral of
    int (4du- ln|u|)/u
    I cant work out what do after this point, assuming am using the correct integration technique. Thanks
    You have 4 \int \frac{\ln u}{u} \, du. Now make the substitution w = \ln u.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    You have 4 \int \frac{\ln u}{u} \, du. Now make the substitution w = \ln u.
    Thank you, that worked out nicely.
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