Prove that. \( \mathrm{P} \) \[ \tan ^{-1}\left(\frac{x+\sqrt{x}}{1...

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Prove that.
\( \mathrm{P} \)
\[
\tan ^{-1}\left(\frac{x+\sqrt{x}}{1-x^{3 / 2}}\right)=\tan ^{-1} x+\tan ^{-1} \sqrt{x}
\]
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