Hi, I am having troubles to compute symbolic intgrals. I keep getting solutions which aren't correct. NIntegrate has no issue but I need a symbolic expression. 
Integrate[Sqrt[((1 + Sqrt[101]/      10)^2 - \) (-(1 - Sqrt[101]/10)^2 + \)]/( 2 \ \), \]
(Sqrt[-1 + 40200 \ - 10000 \^2] -  201 ArcSin[(201 - 100 \)/(20 Sqrt[101])] +  ArcTan[(1 - 20100 \)/  Sqrt[-1 + 40200 \ - 10000 \^2]])/(200 \)
Any ideas on how to solve this problem?
Thanks!