Question

find indefinite integral
(5 dx)/((x)ln(5 x))

Answer 1

u sub for this one

Answer 2

\[5\int\frac{dx}{\ln(5x)}\]
\[u=\ln(x), du =\frac{1}{x}dx\]

\[5\int\frac{du}{u}=5\ln(u) \] etc

Answer 3

looks like it will turn out to be a nested log

Answer 4

oops second line should be
\[u=\ln(5x), du =\frac{1}{x}dx\] but it makes no difference

Answer 5

"nested log" maybe owlfred can make a home there

Answer 6

:)

Answer 7

(5 dx)/((x)ln(5 x))
Let u = ln 5x => du = 5dx/ 5x = dx/x

Answer 8

-> 5 integral du / u = 5 lnu +c = 5 ln [ ln(5x) ] + c