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tan^(-1)sqrtx...

`tan^(-1)sqrtx`

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To solve the integral \( \int \tan^{-1}(\sqrt{x}) \, dx \), we will follow these steps: ### Step 1: Substitution Let \( t = \sqrt{x} \). Then, \( x = t^2 \) and differentiating gives us \( dx = 2t \, dt \). ### Step 2: Rewrite the Integral Substituting \( t \) into the integral, we have: \[ ...
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