List of integrals of trigonometric functions
The following is a list of integrals 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.
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">tangent (trigonometric function)">tangent
Integrands involving only secant">secant (trigonometric function)">secant
Integrands involving only [cosecant]
Integrands involving only [cotangent]
Integrands involving both [sine] and [cosine]
An integral that is a rational function of the sine and cosine can be evaluated using Bioche's rules.Integrands involving both [sine] and [tangent]
Integrand involving both [sine] and [cotangent]
Integrand involving both secant">secant (trigonometry)">secant and [tangent]
Integrals with symmetric limits
Integral over a full circle
