Compute the area of the region under the graph of $f(x)=\frac{8}{x}$ from $x=6$ to $x=12$.
\[
\text { Area }=
\]
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Answer

Final Answer: $\boxed{-8\log(6) + 8\log(12)}$

Steps

Step 1 ：Calculate the definite integral of the function $f(x)=\frac{8}{x}$ from $x=6$ to $x=12$

Step 2 ：Use the formula for the definite integral of $f(x)=\frac{8}{x}$ to find the area under the curve

Step 3 ：Compute the integral to get $-8\log(6) + 8\log(12)$

Step 4 ：Simplify the expression using logarithm properties

Step 5 ：Final Answer: $\boxed{-8\log(6) + 8\log(12)}$