Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle \displaystyle\int{\frac{1+2x}{\sqrt{3+2x-{{x}^{2}}}}}\,\mathrm{d}x\)

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Answer:\(3\sin^{-1}\left(\frac{x-1}{2}\right)-2\sqrt{3+2x-x^2}+C\)

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