Techniques of Integration - Integration by Parts

Techniques of Integration - Integration by Parts

\(\displaystyle\displaystyle \displaystyle\int{{{\tan }^{-1}}\sqrt{x+1}\,\mathrm{d}x}\)

Solution:

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Answer:\((x+2)\tan^{-1}\sqrt{x+1}-\sqrt{x+1}+C\), for \(x\ge-1\) with a one-sided endpoint derivative.

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