Evaluate: `int_0^1(x t a n^(-1)x)/((1+x^2)^(3//2))dx`

Explanation

To evaluate the integral

\[ I = \int_0^1 \frac{x \tan^{-1}(x)}{(1+x^2)^{3/2}} \, dx, \]

we will use the substitution method along with integration by parts.

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