Prove that : \[ \tan ^{-1} x+\cot ^{-1}(x+1)=\tan ^{-1}\left(x^{2}+...

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Prove that :
\[
\tan ^{-1} x+\cot ^{-1}(x+1)=\tan ^{-1}\left(x^{2}+x+1\right)
\]
\( \mathrm{W} \)
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