Evaluate: `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))\ dx`

Explanation

To evaluate the integral

\[ I = \int \frac{\sin^{-1}(\sqrt{x}) - \cos^{-1}(\sqrt{x})}{\sin^{-1}(\sqrt{x}) + \cos^{-1}(\sqrt{x})} \, dx, \]

we can use the identity that relates the inverse sine and cosine functions:

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