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

a
12log⁡∣x2+3x2+2∣+C\dfrac{1}{2} \log \left| \dfrac{x^2 + 3}{x^2 + 2} \right| + C
b
log⁡∣x2+3x2+2∣+C\log \left| \dfrac{x^2 + 3}{x^2 + 2} \right| + C
c
12log⁡∣x2+2x2+3∣+C\dfrac{1}{2} \log \left| \dfrac{x^2 + 2}{x^2 + 3} \right| + C
d
tan⁡−1x+C\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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