Question

integration of sqrt(tanx)

Answer 1

@experimentX

Answer 2

this seems very complicated
http://www.wolframalpha.com/input/?i=integrate+sqrt%28tan+x%29
let me see if i can find another method.

Answer 3

I think Wolfram's method is not bad. I would be interested in an easier method.

Answer 4

reduces to
\[ 2 \int {s^2 \over s^4 + 1}ds \]
Not sure if we can do in simple way from this
http://www4a.wolframalpha.com/Calculate/MSP/MSP74701a27h07925gd94bd00001214bgh8e992f633?MSPStoreType=image/gif&s=22&w=489&h=2660

Answer 5

is there a easier method?

Answer 6

@.Sam.

Answer 7

I know this much from my formula book
that
\[\int\limits_{}^{} \tan x \space \space dx=-\ln |\cos x|\]

Answer 8

I'm not sure about this. But put tan x = t^2.

Answer 9

I vaguely remember this. Sorry if I'm completely wrong..:P

Answer 10

@experimentX @Zarkon can't we find integration of sqrt(tanx)
by the help of the formula i gave?

Answer 11

is this right???
\[\int\limits_{}^{} \sqrt{t ^{2}}/(1+t ^{4})dt=\int\limits_{}^{}dz/(1+z ^{2})=1\tan^{-1}(z)=\tan^{-1} (t ^{2}) \]

Answer 12

http://math.ucsd.edu/~wgarner/math20b/int_sqrt_tan.htm
look critical

Answer 13

sorry it will be \[\int\limits_{}^{}2t ^{2}dt/(1+t ^{4})\]

Answer 14

This is much more good
ithink
http://www.goiit.com/posts/list/differential-calculus-integrate-sqrt-tan-x-1106228.htm;jsessionid=305C258299FC6D137E0C6B9077041EA1.node2#1493671

Answer 15

nice search

Answer 16

A big thanks to all guys who helped me out. Got it at last!!. Over and out!!

Answer 17

thanx @experimentX
&
welcome @ProgramGuru :)