Techniques of Integration - Integration by Splitting the Numerator

Techniques of Integration - Integration by Splitting the Numerator

\(\displaystyle \displaystyle\int{\frac{2-x}{4{{x}^{2}}+3x+1}}\,\mathrm{d}x\)

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Answer:\(-\frac18\ln|4x^2+3x+1|+\frac{19}{4\sqrt7}\tan^{-1}\left(\frac{8x+3}{\sqrt7}\right)+C\)

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