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anonymous

  • 5 years ago

determine if the integral converges: integral limits infinity to 1 1/5x+1

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  1. anonymous
    • 5 years ago
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    \[\int\limits_{1}^{\infty} \] \[\int\limits_{\infty}^{1}\] are the limits like the first or second integral?

  2. anonymous
    • 5 years ago
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    the first one

  3. anonymous
    • 5 years ago
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    ok, one moment

  4. anonymous
    • 5 years ago
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    diverges

  5. anonymous
    • 5 years ago
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    First i found the antiderivative to be Ln(5x+1)/5

  6. anonymous
    • 5 years ago
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    then I found the limit of the antiderivative at x -> infinity and subtracted Ln(6)/5, which is the value at the lower limit

  7. anonymous
    • 5 years ago
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    since the limit as x->infinity goes to infinity, the limit diverges

  8. anonymous
    • 5 years ago
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    i had trouble on the last step

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