List of integrals of exponential functions


The following is a list of integrals of exponential functions. For a complete list of integral functions, please see the list of integrals.

Indefinite integral

Indefinite integrals are antiderivative functions. A constant may be added to the right hand side of any of these formulas, but has been suppressed here in the interest of brevity.

Integrals of polynomials

Integrals involving only exponential functions

Integrals involving exponential and trigonometric functions

Integrals involving the error function

In the following formulas, is the error function and is the exponential integral.

Other integrals

Definite integrals

The last expression is the logarithmic mean.
where is the Polylogarithm.
where is the Euler–Mascheroni constant which equals the value of a number of definite integrals.