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词条 List of integrals of logarithmic functions
释义

  1. Integrals involving only logarithmic functions

  2. Integrals involving logarithmic and power functions

  3. Integrals involving logarithmic and trigonometric functions

  4. Integrals involving logarithmic and exponential functions

  5. n consecutive integrations

  6. References

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.

Integrals involving logarithmic and power functions

, etc.

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.
{{Lists of integrals}}

2 : Integrals|Mathematics-related lists
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