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\int \frac{1}{x}\mathrm{d}x
Evaluate the indefinite integral first.
\ln(|x|)
Use \int \frac{1}{x}\mathrm{d}x=\ln(|x|) from the table of common integrals to obtain the result.
\ln(|11|)-\ln(|7|)
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\ln(\frac{11}{7})
Simplify.