Question

I need help with this step by step
Evaluate the indefinite integral.
\int \frac{(\ln(x))^4}{x} dx
by substitution

Answer 1

\[\int\frac{\big(\ln x\big)^4}{x}~dx~~?\]

Answer 2

If so, let \(u=\ln x\), then \(du=\dfrac{1}{x}~dx\):
\[\int u^4~du\]
Pretty simple from here.