Antiderivative of the logarithm

Theorem

The following formula holds: $$\displaystyle\int \log(z) \mathrm{d}z = z\log(z)-z+C,$$ where $\log$ denotes the logarithm.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.49$ (note: forgets the $+C$)