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 functionsEdit

 
 
 
 
 
 
 , the logarithmic integral.
 

Integrals involving logarithmic and power functionsEdit

 
 
 
 
 
 
 
 , etc.
 
 
 
 
 

Integrals involving logarithmic and trigonometric functionsEdit

 
 

Integrals involving logarithmic and exponential functionsEdit

 
 
 

n consecutive integrationsEdit

For   consecutive integrations, the formula

 

generalizes to

 

ReferencesEdit