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Q.∫x3+x+1x2+1 dx\int \dfrac{x^3 + x + 1}{x^2 + 1} \, dx equals

a
x22+tan⁡−1x+C\dfrac{x^2}{2} + \tan^{-1} x + C
b
x22+x+tan⁡−1x+C\dfrac{x^2}{2} + x + \tan^{-1} x + C
c
x22−x+tan⁡−1x+C\dfrac{x^2}{2} - x + \tan^{-1} x + C
d
x+tan⁡−1x+Cx + \tan^{-1} x + C

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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