Determine whether the improper integral

Integral from $6$ to infinity StartFraction $8$ Over StartRoot x EndRoot EndFraction dx$6$$8$xdx

converges or$$ diverges, and find the value if it converges.

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Part $1$

Select the correct choice below$$ and, if$$ necessary, fill in the answer box within your choice.

A$.$

The integral converges to

enter your response here.

$($Type an integer or a simplified$$ fraction.$)$

B$.$

The integral diverges.