Answer
$\int_2^4\frac{3}{x}dx$ = $3$ ln$2$
Work Step by Step
Evaluate the integral $\int_2^4\frac{3}{x}dx$.
$\int_2^4\frac{3}{x}dx$= $3\int_2^4\frac{1}{x}dx$
This implies
$=3ln[|x|]_2^4$
$=3[ln4-ln2]$
$=3 [ln\frac{4}{2}]$
Hence,$\int_2^4\frac{3}{x}dx$ = $3$ ln$2$
