List of integrals of logarithmic functions
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
- 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.