Answer
$\int\frac{log_{10}x}{x}dx=\frac{x^{2}}{2ln10}$
Work Step by Step
Evaluate the integral $\int\frac{log_{10}x}{x}dx$
Apply Logarithmic base formula.
$\int\frac{log_{10}x}{x}dx=\int\frac{lnx}{x(ln10)}$
Hence, $\int\frac{log_{10}x}{x}dx=\frac{x^{2}}{2ln10}$
