Step 1 :Evaluate the integral \(\int \frac{7}{x} dx\).
Step 2 :The integral of a function in the form of \(\frac{a}{x}\) is \(a \ln|x|\). In this case, \(a = 7\).
Step 3 :So, the integral of \(\frac{7}{x}\) is \(7 \ln|x|\).
Step 4 :Final Answer: The integral of \(\frac{7}{x}\) is \(\boxed{7 \ln|x|}\).