List of integrals of trigonometric functions
These 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. For the special antiderivatives involving trigonometric functions, see Trigonometric integral.
|Laws and theorems|
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.
Integrands involving only sine
Integrands involving only cosine
Integrands involving only tangent
Integrands involving only cosecant
Integrands involving only cotangent
An integral that is a rational function of the sine and cosine can be evaluated using Bioche's rules.