Mathematics

Mathematics

Problem

Evaluate ∫sin⁡−1x−cos⁡−1xsin⁡−1x+cos⁡−1xdx\int \frac{\sin^{-1} \sqrt{x} - \cos^{-1} \sqrt{x}}{\sin^{-1} \sqrt{x} + \cos^{-1} \sqrt{x}} dx .

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