Evaluate the integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}ln(x^2-x+2)dx$

$(x+2)ln(x^2-x+2)-x+\sqrt[\phantom{2}]{7}arctan(\frac{2x-1}{\sqrt[\phantom{2}]{7}})+C$

None of the other choices

$(x-\frac{1}{2})ln(x^2-x+2)-x+7arctan(\frac{2x-1}{\sqrt[\phantom{2}]{7}})+C$

$+$

$(x-\frac{1}{2})ln(x^2-x+2)-2x+\sqrt[\phantom{2}]{7}arctan(\frac{2x-1}{\sqrt[\phantom{2}]{7}})+C$

$(x+\frac{1}{2})ln(x^2-x+2)-2x-7arctan(\frac{2x-1}{\sqrt[\phantom{2}]{7}})+C$