Question

can anyone see the mistake here?

Answer 1

should that be a "2/sqrt3*arctan...." ?

Answer 2

\[\frac{1}{2}\int\limits \frac{1}{\left(x+\frac{1}{2}\right)^2+\left(\frac{\sqrt{3}}{2}\right)^2} \, dx=\frac{\text{ArcTan}\left[\frac{1+2 x}{\sqrt{3}}\right]}{\sqrt{3}}+C_2 \]

Answer 3

oh yeah.. i forgot that 1/2 outside...

Answer 4

isn't (a)arctan(ax) = 1/[(a^2\[(a)\arctan(ax)=1/(x^2+a^2)\]