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.
Trigonometry |
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Reference |
Laws and theorems |
Calculus |
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 tangent
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.
Integrand involving both secant and tangent
Integrals in a quarter period
Integrals with symmetric limits
Integral over a full circle
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See also
References
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