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Evaluate: int((xtan^(-1)x)/((1+x^2)^(3se...

Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2))\ dx`

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To evaluate the integral \[ I = \int \frac{x \tan^{-1}(x)}{(1+x^2)^{\frac{3}{2}}} \, dx, \] we will use the substitution method. We will let \( t = \tan^{-1}(x) \), which implies that \( x = \tan(t) \). ...
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