Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle\displaystyle \displaystyle\int{\frac{4x+3}{\sqrt{3-3x-{{x}^{2}}}} \mathrm{ d}x}\)

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Answer:\(-4\sqrt{3-3x-x^2}-3\sin^{-1}\left(\frac{2x+3}{\sqrt{21}}\right)+C\)

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