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Differentiate w.r.t. x
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\frac{x_{8}}{9x^{2}-4}
Find the integral of \frac{1}{9x^{2}-4} using the table of common integrals rule \int a\mathrm{d}x_{8}=ax_{8}.
\frac{x_{8}}{9x^{2}-4}+С
If F\left(x_{8}\right) is an antiderivative of f\left(x_{8}\right), then the set of all antiderivatives of f\left(x_{8}\right) is given by F\left(x_{8}\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.