# List of integrals of logarithmic functions

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 (asymptotically, ).

## Integrals involving logarithmic and power functions

- , etc.

- where li is the logarithmic integral.

## Integrals involving logarithmic and trigonometric functions

## Integrals involving logarithmic and exponential functions

*n* consecutive integrations

For consecutive integrations, the formula

generalizes to

## 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.

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