\int {dx}/{ (x + 1) ^{2} (x^{2} + 1) } = ?

Correct Answer is : 12log⁡(x+1)−12(x+1)−14log⁡(x2+1)

\frac{1}{2}\log ⁡ (x + 1) + \frac{1}{2 (x + 1) } + \frac{1}{4}\log ⁡ (x^{2} + 1)

\frac{1}{2}\log ⁡ (x + 1) + \frac{1}{2 (x + 1) }−\frac{1}{4}\log ⁡ (x^{2} + 1)

\frac{1}{2}\log ⁡ (x + 1) −\frac{1}{2 (x + 1) }−\frac{1}{4}\log ⁡ (x^{2} + 1)

\frac{1}{2}\log ⁡ (x + 1) −\frac{1}{2 (x + 1) } + \frac{1}{4}\log ⁡ (x^{2} + 1)

AAI ATC Junior Executive 2016 Shift 1 Paper

Question : 112 of 120

Marks: +1, -0

∫ \;{dx}/{ (x + 1) ^{2} (x^{2} + 1) }

= ?

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