Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

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

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Answer:\(\sqrt{1-x-x^2}+\frac32\sin^{-1}\left(\frac{2x+1}{\sqrt5}\right)+C\)

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