Integrate this: Integration of (tan inverse x)^2 using integration by parts

[sunip]

integrate this...

integration of (tan inverse x)^2

 

[Tedjn]

Please show any work you have done or thoughts you have had before we start helping.

 

[transgalactic]

did your function meen

f(x)=(arctan x)^2

if its true
then
make
f(x)=(arctan x)(arctan x)
and solve it by parts
remmember that
the derivative of arctan x is 1/(1+x^2)
then i think you should take a subtitution of arctan x=t
because you would have arctan x and its derivative in the same integral

i am not sure its the right way

another way to do by parts is to take 1 as u'
and the rest of the function to take as V
just some thoughts
good luck