List of integrals of trigonometric functions

For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.

For the special antiderivatives involving trigonometric functions, see Trigonometric integral.

In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration.

An integral that is a rational function of the sine and cosine can be evaluated using Bioche's rules.

one can write Using the modified Struve functions

and modified Bessel functions