Techniques of Integration - Integration Using Partial Fractions

Techniques of Integration - Integration Using Partial Fractions

\(\displaystyle\displaystyle \displaystyle\int{\frac{3{{x}^{2}}+9x+5}{3{{x}^{2}}+5x+2}\mathrm{ }}\mathrm{d}x\)

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Answer:\(x+\frac13\ln|3x+2|+\ln|x+1|+C\)

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