Techniques of Integration - Integration by Splitting the Numerator
Techniques of Integration - Integration by Splitting the Numerator
\(\displaystyle \displaystyle\int{\frac{3x+7}{-3{{x}^{2}}+4x+6}}\,\mathrm{d}x\)
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Answer:\(-\frac12\ln|-3x^2+4x+6|+\frac9{2\sqrt{22}}\ln\left|\frac{\sqrt{22}+3x-2}{\sqrt{22}-3x+2}\right|+C\)
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