Evaluate
R\ln(|r|)+С
Differentiate w.r.t. R
\ln(|r|)
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R\int \frac{1}{r}\mathrm{d}r
Factor out the constant using \int af\left(r\right)\mathrm{d}r=a\int f\left(r\right)\mathrm{d}r.
R\ln(|r|)
Use \int \frac{1}{r}\mathrm{d}r=\ln(|r|) from the table of common integrals to obtain the result.
R\ln(|r|)+С
If F\left(r\right) is an antiderivative of f\left(r\right), then the set of all antiderivatives of f\left(r\right) is given by F\left(r\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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