# How to evaluate the integral $\int_1^2{\frac{\arctan{x}}{x^2-x+1} \, dx}$?

How to evaluate the following integral: $\int\limits_1^2{\dfrac{\arctan{x}}{x^2-x+1}dx}$?

I tried to make a substitution $t = \arctan{x}$, but it didn't help.

Any help would be appreciated.

• According to WA it cannot be evaluated in terms of elementary functions. A very complicated-looking answer. – David Quinn Jun 2 '15 at 9:16
• Why was the feynman trick answer deleted? – grdgfgr Jun 2 '15 at 9:45