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

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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:
  $$\int 6	imes \frac{1}{t} dt$$
- step3: Use properties of integrals:
  $$6	imes \int \frac{1}{t} dt$$
- step4: Evaluate the integral:
  $$6\ln{\left(\left|tight|ight)}$$
- step5: Return the limits:
  $$\left(6\ln{\left(\left|tight|ight)}ight)\bigg |_{1}^{5}$$
- step6: Calculate the value:
  $$6\ln{\left(5ight)}$$
The integral of $$ \frac{6}{t} $$ from 1 to 5 is $$ 6\ln{(5)} $$.
The integral $$ \int_{1}^{5} \frac{6}{t} dt $$ equals $$ 6\ln{(5)} $$.

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

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