Let u = x+1
then the integrand becomes (u-1)/u = 1 - 1/u
Or use long division to obtain 1 - 1/(x+1) directly
at any rate you get x - ln(x+1) + c aftger integrating
i basically get how to do the separable equations, i change it to:
and then i integrate both sides, i'm having trouble integrating the right side, i tried using integration by parts but it doesn't come out how the book has it. i think maybe there's an easier way but i can't remember. can someone help me with this?