\( \int e^{\tan ^{-1} x\left(\frac{1+x+x^{2}}{1+x^{2}}\right)} d x \) is equal to (A) \( x e^{\t...

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\( \int e^{\tan ^{-1} x\left(\frac{1+x+x^{2}}{1+x^{2}}\right)} d x \) is equal to
(A) \( x e^{\tan -1 x}+C \)
(B) \( x^{2} e^{\tan ^{-1} x}+C \)
(C) none of these
(D) \( \frac{1}{x} e^{\tan ^{-1} x}+C \)
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