anonymous
  • anonymous
determine if the integral converges: integral limits infinity to 1 1/5x+1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{1}^{\infty} \] \[\int\limits_{\infty}^{1}\] are the limits like the first or second integral?
anonymous
  • anonymous
the first one
anonymous
  • anonymous
ok, one moment

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anonymous
  • anonymous
diverges
anonymous
  • anonymous
First i found the antiderivative to be Ln(5x+1)/5
anonymous
  • anonymous
then I found the limit of the antiderivative at x -> infinity and subtracted Ln(6)/5, which is the value at the lower limit
anonymous
  • anonymous
since the limit as x->infinity goes to infinity, the limit diverges
anonymous
  • anonymous
i had trouble on the last step

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