Evaluate
\frac{8xX^{2}+83x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}+С
Differentiate w.r.t. x
\frac{8X^{2}+83}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}
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\frac{8X^{2}+36+47}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}x
Find the integral of \frac{8X^{2}+36+47}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{\left(8X^{2}+83\right)x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}
Simplify.
\frac{\left(8X^{2}+83\right)x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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