∫x/(x²-2x+4)dx=1/2*∫(2x-2+2)/(x²-2x+4)dx=1/2*∫(2x-2)/(x²-2x+4)dx+∫1/(x²-2x+1+3)dx=1/2ln(x²-2x+4)+1/3∫1/[((x-1)/√3)²+1)dx=1/2ln(x²-2x+4)+1/√3arctan((x-1)/√3)+C
=1/3X∧3-X∧2+4X+C