Difference between revisions of "Antiderivative of the logarithm"
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Latest revision as of 05:05, 21 December 2017
Theorem
The following formula holds: $$\displaystyle\int \log(z) \mathrm{d}z = z\log(z)-z+C,$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.49$ (note: forgets the $+C$)