The Student Room Group
Reply 1
curlyc3
Can someone please see what they get if they integrate the inverse of tanx! I have a really random answer! My method seems really jumbled so any help would be great!!! :tongue:


do you mean tan^-1.x, ie. arctan or (tanx)^-1, ie cotx?
Reply 2
also, do you mean tan x factorial? :tongue: :biggrin:
Reply 3
curlyc3
Can someone please see what they get if they integrate the inverse of tanx! I have a really random answer! My method seems really jumbled so any help would be great!!! :tongue:


The integral of Arctan x is x*Arctanx + 1/2Log(1+x^2)
Reply 4
(int) arctan(x) dx
= (int) 1*arctan(x) dx
= x arctan(x) - (int) x/(1 + x^2) dx . . . integrating by parts in the ln(x) style
= x arctan(x) - (1/2)ln(1 + x^2) + c

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