Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle\displaystyle \displaystyle\int{\frac{2+x}{2+6x-{{x}^{2}}}\mathrm{ d}x}\)

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Answer:\(-\frac12\ln|2+6x-x^2|+\frac5{2\sqrt{11}}\ln\left|\frac{\sqrt{11}+x-3}{\sqrt{11}-x+3}\right|+C\)

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