Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

\(\displaystyle\displaystyle \displaystyle\int \frac{1}{(2 - (x + 1)^{2})^{\frac{3}{2}}} dx\), let \(x + 1 = \sqrt{2} \sin \theta\)

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Answer:\(\frac{x+1}{2\sqrt{2-(x+1)^2}}+C\)

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