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

a
x22+2x+tan⁡−1x+C\dfrac{x^2}{2} + 2x + \tan^{-1} x + C
b
x2/2+x+tan⁡−1x+Cx^2/2 + x + \tan^{-1} x + C
c
x2/2+2x+3tan⁡−1x+Cx^2/2 + 2x + 3 \tan^{-1} x + C
d
x22+tan⁡−1x+C\dfrac{x^2}{2} + \tan^{-1} x + C

Correct Answer: Option A

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

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