EUR 3.-Who can solve the following integral?

find the value of the following integral:-

(1+tanx)^-1/2 dx?

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Written by Utkarsh on Tuesday, Mar 9, 2010 at 2:11:33 PM
are you sure the integral in question is an indefinite integral?
Written by Leo on Thursday, Feb 4, 2010 at 9:55:15 PM
for this kind of question, go to www.wolframalpha.com, and type it in the bar with an = on the side
almost any syntax will work, I typed
int (1+tan(x))^(-1/2)dx.
The integral is not known in closed form by mathematica, which usually means noone knows it. Alpha gives a picture of it for a given normalization.
Note that without integration constants the solution will be complex because the tangent becomes less than 1 in some regions.
cheers,
Leo