Question

integral 1/xln^3x dx

Answer 1

do you mean
\[\int \frac{1}{x\ln(3x)}\,dx\]

Answer 2

o.o?

Answer 3

It doesn't look clear in how you wrote it.

Answer 4

do you mean...\[\int\limits_{}^{}(\ln3x)/xdx\]

Answer 5

which one?

Answer 6

Looks like
\[\int\frac{dx}{x(\ln x)^3}\]

Answer 7

1/x(ln^3)x

Answer 8

I'm pretty sure \(\ln^3x=(\ln x)^3\)

Answer 9

If that's the case, then substitute \(u=\ln x\) so that \(du=\dfrac{dx}{x}\), then
\[\int\frac{dx}{x\ln^3x}=\int\frac{du}{u^3}\]