Question

Find the indefinite integral of 1/xln(x^3)

Answer 1

let
t=ln(x^3)

\[\Large dt=\frac{3x^2}{x^3}dx\]
\[\Large dt=\frac{3}{x}dx\]
\[\Large \frac{1}{3}dt=\frac{1}{x}dx\]
\[\Large \int\limits_{}^{} \frac{1}{3t}dt=\frac{1}{3}\ln(t)+c\]
now substitute bacl t=ln(x)^3) to get the answer .

Answer 2

Oh! Thank you so much!