Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle\displaystyle \displaystyle\int{\frac{5-3x}{\sqrt{7-5x-{{x}^{2}}}}\mathrm{ d}x}\)

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Answer: \(3\sqrt{7-5x-{{x}^{2}}}+\frac{25}{2}{{\sin }^{-1}}\left( \frac{2x+5}{\sqrt{53}} \right)+C\)

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