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 (the constant of integration) may be added to the right hand side of any of these formulas, but has been suppressed here in the interest of brevity.
Integrals involving only exponential functions
Integrals involving exponential and power functions
Integrals involving exponential and trigonometric functions
Integrals involving the error function
- ( is the exponential integral)
- ( is the error function)
Other integrals
-
- where
- (Note that the value of the expression is independent of the value of , which is why it does not appear in the integral.)
-
- where
- and is the gamma function
- when , , and
- when , , and
Definite integrals
- for , which is the logarithmic mean
- (the Gaussian integral)
- (!! is the double factorial)
- ( is the modified Bessel function of the first kind)
References
This article is issued from Wikipedia - version of the Tuesday, January 26, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.