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

1. , the logarithmic integral.

Integrals involving logarithmic and power functions

1. , etc.

Integrals involving logarithmic and trigonometric functions

Integrals involving logarithmic and exponential functions

n consecutive integrations

consecutive integrations, the formula

generalizes to

1. ,

2. 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.