List of integrals of logarithmic functions

From Wikipedia, the free encyclopedia
Jump to: navigation, search

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[edit]

= the logarithmic integral (asymptotically, ).

Integrals involving logarithmic and power functions[edit]

, etc.
where li is the logarithmic integral.

Integrals involving logarithmic and trigonometric functions[edit]

Integrals involving logarithmic and exponential functions[edit]

n consecutive integrations[edit]

For consecutive integrations, the formula

generalizes to

References[edit]