7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

1/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

List of integrals of trigonometric functionsFrom 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 expcomplete 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 sine2 Integrands involving only cosine3 Integrands involving only tangent4 Integrands involving only secant5 Integrands involving only cosecant6 Integrands involving only cotangent7 Integrands involving both sine and cosine8 Integrands involving both sine and tangent9 Integrands involving both cosine and tangent10 Integrals containing both sine and cotangent11 Integrands involving both cosine and cotangent12 Integrals with symmetric limits13 References

Integrals involving only sine

7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

2/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

Integrands involving only cosine

7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

3/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

Integrands involving only tangent

Integrands involving only secant

See Integral of the secant function.

7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

4/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

[1]

Integrands involving only cosecant

Integrands involving only cotangent

Integrands involving both sine and cosine

7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

5/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

also:

also:

also:

7/29/2019 List of Integrals of Trigonometric Functions - Wikipedia, The Free Encyclopedia

6/6wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

also:

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 Transc endentals, 6th Edition. Thomson: 2008

Retrieved from "http://en.wikipedia.org/w/index.php?title=List_of_integrals_of_trigonometric_functions&oldid=509095556"

Categories: Integrals Trigonometry Mathematics-related lists

This page was last modified on 25 August 2012 at 14:56.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.