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$∫ e^{tan^{-1}x}\bigg(\large\frac{1+x+x^2}{1+x^2}\bigg)$$dx$

$\begin{array}{1 1} xe^{\tan ^{-1}x}+c \\x^2e^{\tan ^{-1}x}+c \\ xe^{\cos ^{-1}x}+c \\ xe^{\sin ^{-1}x}+c\end{array} $

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