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Problem with math integral substitution

  1. Feb 19, 2005 #1
    [tex]\int \frac{1}{4x+7*sqrt(x)}[/tex]

    what would be a good u substituion for this problem? i cant think of any at the moment
  2. jcsd
  3. Feb 19, 2005 #2


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    [tex]y=\sqrt x[/tex] is a good start.
  4. Feb 19, 2005 #3


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    The answer is [tex] \frac{1}{2}\ln (4\sqrt{x}+7) +C [/tex]


    P.S.Sure,the integral is evaluated in [itex] (0,+\infty) [/itex].
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