Answer to Question #225471 in Calculus for sbuda

Question

determine the integral of function (ln(4x))^3 /x dx

Answer 1

Let us determine the integral

$\int\frac{(\ln(4x))^3}{x} dx =\int(\ln(4x))^3 d(\ln(4x)) =\frac{(\ln(4x))^4}{4}+C.$