Techniques of Integration - Standard Integrals with Quadratic Denominators

Techniques of Integration - Standard Integrals with Quadratic Denominators

\(\displaystyle\displaystyle \displaystyle\int{\frac{1}{{{\left( 3x-1 \right)}^{2}}-7}}\mathrm{ d}x \) for \(x>\sqrt{7}\)

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Answer:\(\frac1{6\sqrt7}\ln\left(\frac{3x-1-\sqrt7}{3x-1+\sqrt7}\right)+C\)

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