Math, asked by robert27, 1 year ago

integration of
integrtion of \frac{cosecx}{log tanx}

Answers

Answered by Anonymous
0

It does not have anti-derivative. I am solving by taking tan(x/2).

Please see the attachment, and ask your doubt :)



Attachments:

Anonymous: 2 integration{1/2 sin t cos t (ln(Tan t)} dt
Anonymous: which can be written as
Anonymous: integration of ( sec^2 x)/( tan x ln(tan x))
Anonymous: now again substitute y= ln( tan x)
Anonymous: dt=tan x/ sec^2 x dy
Anonymous: which means
Anonymous: integration of (1/y) dy
Anonymous: which is equal to ln(y)
Anonymous: IN the pic, i forgot to write 2 before integration(4th step) Kindly add while solving...
Anonymous: final editing done , image updated
Answered by a1p1
1
I think this is correct
Attachments:

robert27: great
robert27: men
robert27: this is tan x
robert27: i want tan x/2
robert27: answer is wrong
robert27: orrect one is
robert27: log (log tan x/2)
Anonymous: yes!
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