(x+1)/(x²;-2x+5)的不定積分怎麼求

(x+1)/(x²;-2x+5)的不定積分怎麼求

原式=∫(x-1)/(x2-2x+5)dx+∫2/(x2-2x+5)dx
=1/2ln(x2-2x+5)+arctan((x-1)/2)+C