## anonymous 5 years ago determine if the integral converges: integral limits infinity to 1 1/5x+1

1. anonymous

$\int\limits_{1}^{\infty}$ $\int\limits_{\infty}^{1}$ are the limits like the first or second integral?

2. anonymous

the first one

3. anonymous

ok, one moment

4. anonymous

diverges

5. anonymous

First i found the antiderivative to be Ln(5x+1)/5

6. 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

7. anonymous

since the limit as x->infinity goes to infinity, the limit diverges

8. anonymous

i had trouble on the last step

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