\( \int_{1}^{5} \frac{6}{t} d t= \) (Type an exact answer.)

Calculate the integral \( \int_{1}^{5} \frac{6}{t} dt \). Evaluate the integral by following steps: - step0: Evaluate using formulas and rules: \(\int_{1}^{5} \frac{6}{t} dt\) - step1: Evaluate the integral: \(\int \frac{6}{t} dt\) - step2: Rewrite the expression: \(\int 6\times \frac{1}{t} dt\) - step3: Use properties of integrals: \(6\times \int \frac{1}{t} dt\) - step4: Evaluate the integral: \(6\ln{\left(\left|t\right|\right)}\) - step5: Return the limits: \(\left(6\ln{\left(\left|t\right|\right)}\right)\bigg |_{1}^{5}\) - step6: Calculate the value: \(6\ln{\left(5\right)}\) The integral of \( \frac{6}{t} \) from 1 to 5 is \( 6\ln{(5)} \).