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


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