∫[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy =1/6*∫6[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy =1/6*∫[2(y^3)+3(y^2)+6y]'/[根号下开5次方2(y^3)+3(y^2)+6y] dy =1/6*∫1/[根号下开5次方2(y^3)+3(y^2)+6y] d(2(y^3)+3(y^2)+6y) =1/6*[1/(-1/5)+1]*[2(y^3)+3(y^2)+6y]^[1/(-1/5)+1]+C =5/24*[2(y^3)+3(y^2)+6y]^(5/4)+C