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Q.∫dxx3+x2+x+1\int \dfrac{dx}{x^3 + x^2 + x + 1} equals

a
log⁡∣x2+1x(x+1)∣+C\log \left| \dfrac{x^2 + 1}{x(x+1)} \right| + C
b
log⁡∣x2+1∣+C\log |x^2 + 1| + C
c
12log⁡∣x2+1(x+1)2∣+C\dfrac{1}{2} \log \left| \dfrac{x^2 + 1}{(x+1)^2} \right| + C
d
tan⁡−1x+C\tan^{-1} x + C

Correct Answer: Option C

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

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