Question

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

Answer 1

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

Answer 2

the first one

Answer 3

ok, one moment

Answer 4

diverges

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

i had trouble on the last step