Question

Double check please: integrate ((y^2+1)(dy/dx))/(y+1)=x/(x^2+1)

Answer 1

i got: 1/2(y^2-2y+4ln(y+1)-3=(arbitrary constant)+(1/2)ln(x^2+1)

Answer 2

i got same thing, its correct.
you can combine -3 on left with constant.