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Evaluate: int(e^tan^-1(x))/((1+x^2))[(se...

Evaluate: `int(e^tan^-1(x))/((1+x^2))[(sec^(-1)sqrt(1+x^2))^2+cos^(-1)((1-x^2)/(1+x^2))]dx(x >0)dot`

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AI Generated Solution

To evaluate the integral \[ I = \int \frac{e^{\tan^{-1}(x)}}{1+x^2} \left[ \left( \sec^{-1}(\sqrt{1+x^2}) \right)^2 + \cos^{-1}\left( \frac{1-x^2}{1+x^2} \right) \right] dx \] we will follow these steps: ...
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