For:
Let
So
Now using integration by parts:
You can check if my answer is correct here:
int arctan((x)^(1/2)) - Wolfram|Alpha
Hope this helps.
This question is posed here: How to integrate sqrt(arctanx)? - Yahoo! Answers
I think the presumption of the only answer by Robert V is correct and that the OP got the order of operation mixed up.
However, maybe someone here can provide a closed form answer to the original question?
(If not, then thanks for your efforts.)
For:
Let
So
Now using integration by parts:
You can check if my answer is correct here:
int arctan((x)^(1/2)) - Wolfram|Alpha
Hope this helps.
Thanks, x3bnm, but you have answered the reverse question just as Robert V did in Yahoo! Answers. The original (albeit, possibly mistaken) question was int sqrt(arctan(x))?
wolframalpha.com couldn't do it either, though perhaps the Pro version could.
I suspect there is no closed form solution, although proving that could be incredibly difficult.