Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve $y = \ln x ^ { 7 }$ about the $x$-axis on the interval $1 \leq x \leq 7$.

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The Answer of Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve $y = \ln x ^ { 7 }$ about the $x$-axis on the interval $1 \leq x \leq 7$.

Set Up, but Do Not Evaluate, an Integral for the Area