Integrating csc(2x)ln(tan(x))

[flying2000]

integrate ln(tanx)/sinxcosx dx
I want to change to integrate csc2x ln(tanx) dx , still can't work it out.
Any suggestions?
THX

 

[dextercioby]

$$\int \frac{\ln(\tan x)}{\sin x\cos x} dx$$ can be integrated very easily if u multiply both the denominator & the numerator by \cos x and make the substitution \tan x -------->u and then a simple part integration...

Daniel.

 

[Muzza]

Or you could try the substitution u = ln(tan(x)).

 

[flying2000]

Thanks so much. I got it!