# List of integrals of trigonometric functions

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.

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.

## Integrands involving only sine

## Integrands involving only cosine

## Integrands involving only tangent

## Integrands involving only 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 cosine and tangent

## Integrand involving both sine and cotangent

## Integrand involving both cosine and cotangent

## Integrand involving both secant and tangent

## Integrand involving both cosecant and cotangent

## Integrals in a quarter period

## Integrals with symmetric limits

## Integral over a full circle

## See also

Credits to the contents of this page go to the authors of the corresponding Wikipedia page: en.wikipedia.org/wiki/List of integrals of trigonometric functions.