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