$\int e^{\tan^{-1} x} \left( 1 + \frac{x}{1+x^2} \right) \, dx$ - DASH

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Question

$\int e^{\tan^{-1} x} \left( 1 + \frac{x}{1+x^2} \right) \, dx$

$\frac{1}{2} x \, e^{\tan^{-1} x} + C$

$x \, e^{\tan^{-1} x} + C$

$e^{\tan^{-1} x} + C$

$\frac{1}{2} e^{\tan^{-1} x} + C$

Solution

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