Integrate 3x + 5 / (x3-x2-x+1)?

Answer Posted / ankit

3/(x-1)^2 + 2/ {(x-1)^2*(x+1)}
-3/(x-1) - 2*t*dt/(1-2t)^2 if x=1/t -1
-3/(x-1) + dt/1-2t - dt /(1-2t)^2
-3/(x-1) -1/2log(1-2t) - 1/{2*(1-2t)}
-3/x-1 -1/2 log (1-2/x+1) - 1/2(1-2/x+1)
-3/(x-1) -1/2 log{(x-1)/(x+1)} -(x+1)/{2*(x-1)}

-(x+7)/{2*(x-1)} -1/2 log{(x-1)/(x+1)}

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