Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle \displaystyle\int{\frac{2x+3}{\sqrt{5-2x-{{x}^{2}}}}}\,\mathrm{d}x\)

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Answer:\(-2\sqrt{5-2x-x^2}+\sin^{-1}\left(\frac{x+1}{\sqrt6}\right)+C\)

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