JEE Advance - Mathematics (1999 - No. 40)
Integrate $$\int {{{{x^3} + 3x + 2} \over {{{\left( {{x^2} + 1} \right)}^2}\left( {x + 1} \right)}}dx.} $$
-{1/2}log|x+1| + {1/4}log(x^2+1) + {3/2}tan^{-1}x + x/(1+x^2) + C
-{1/2}log|x+1| - {1/4}log(x^2+1) + {3/2}tan^{-1}x + x/(1+x^2) + C
{1/2}log|x+1| + {1/4}log(x^2+1) + {3/2}tan^{-1}x + x/(1+x^2) + C
-{1/2}log|x+1| + {1/4}log(x^2+1) - {3/2}tan^{-1}x + x/(1+x^2) + C
-{1/2}log|x+1| + {1/4}log(x^2+1) + {3/2}tan^{-1}x - x/(1+x^2) + C
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