2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia List of integrals of trigonometric functions From Wikipedia, the free encyclopedia
The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions. For a complete list of antiderivative functions, see lists of integrals. See also trigonometric integral.
Generally, if the function is any trigonometric function, and is its derivative,
In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration.
Contents
1 Integrals involving only sine 2 Integrands involving only cosine 3 Integrands involving only tangent 4 Integrands involving only secant 5 Integrands involving only cosecant 6 Integrands involving only cotangent 7 Integrands involving both sine and cosine 8 Integrands involving both sine and tangent 9 Integrands involving both cosine and tangent 10 Integrals containing both sine and cotangent 11 Integrands involving both cosine and cotangent 12 Integrals with symmetric limits 13 References
Integrals involving only sine
en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 1/6 2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia
Integrands involving only cosine
en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 2/6 2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia
Integrands involving only tangent
Integrands involving only secant
See Integral of the secant function.
[1]
en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 3/6 2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia
Integrands involving only cosecant
Integrands involving only cotangent
Integrands involving both sine and cosine
en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 4/6 2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia
also:
also:
also:
also: en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 5/6 2/7/13 List of integrals of trigonometric functions - Wikipedia, the free encyclopedia
also:
Integrands involving both sine and tangent
Integrands involving both cosine and tangent
Integrals containing both sine and cotangent
Integrands involving both cosine and cotangent
Integrals with symmetric limits
References
1. ^ Stewart, James. Calculus: Early Transcendentals, 6th Edition. Thomson: 2008 Retrieved from "http://en.wikipedia.org/w/index.php?title=List_of_integrals_of_trigonometric_functions&oldid=535898550" Categories: Integrals Trigonometry Mathematics-related lists
This page was last modified on 31 January 2013 at 18:50. Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. See Terms of Use for details. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions 6/6