Techniques of Integration - Integration by Splitting the Numerator
Techniques of Integration - Integration by Splitting the Numerator
\(\displaystyle \displaystyle\int{\frac{{{x}^{2}}-2x+6}{{{x}^{2}}+2x+6}}\,\mathrm{d}x\)
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Answer:\(x-2\ln(x^2+2x+6)+\frac4{\sqrt5}\tan^{-1}\left(\frac{x+1}{\sqrt5}\right)+C\)
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