The following is a list of integrals (antiderivative functions) of logarithmic functions. For a complete list of integral functions, see list of integrals.
Note: x > 0 is assumed throughout this article, and the constant of integration is omitted for simplicity.
Integrals involving only logarithmic functions
, the logarithmic integral.
Integrals involving logarithmic and power functions
, etc.
Integrals involving logarithmic and trigonometric functions
Integrals involving logarithmic and exponential functions
n consecutive integrations
For consecutive integrations, the formula
generalizes to
, where are arbitrary constants of integration.
See also
References
Milton Abramowitz and Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1964. A few integrals are listed on page 69.