Question

integrate (tan(x)+1)/(tan(x)-1)..help me solve this please..

Answer 1

hmm wait..it seems it'swritten \[\frac{\tan x + 1}{\tan x - 1}\] sorry misread

Answer 2

how to integrate that??

Answer 3

\[\large\int\limits\frac{\frac{sinx}{cosx}+1}{\frac{sinx}{cosx}-1} dx \]
Weierstrass substitution might work..

Answer 4

try multiplying by conjugate (what it is called??) of denominator and ... change into double angle

Answer 5

wont weisestrass substitution work?

http://en.wikipedia.org/wiki/Weierstrass_substitution

Answer 6

if i take u is tan(x)+1 it won't work

Answer 7

indeed it wont work. try manipulating it with trig identities; changding tanx = sinx/cosx like i suggested.

Answer 8

ok i will try..thanks :)

Answer 9

this should yield to something like
\[ \frac{1 + \sin 2x}{-\cos 2x} \]

Answer 10

is that by using trigonometry identities?