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

a
extan⁡−1x+Ce^x \tan^{-1} x + C
b
ex+tan⁡−1x+Ce^x + \tan^{-1} x + C
c
ex/(1+x2)+Ce^x / (1 + x^2) + 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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