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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.
There are three common notations for inverse trigonometric functions. The arcsine function, for instance, could be written as sin −1, asin, or, as is used on this page, arcsin. For each inverse trigonometric integration formula below there is a corresponding formula in the list of integrals of inverse hyperbolic functions.
If the function f does not have any continuous antiderivative which takes the value zero at the zeros of f (this is the case for the sine and the cosine functions), then sgn(f(x)) ∫ f(x) dx is an antiderivative of f on every interval on which f is not zero, but may be discontinuous at the points where f(x) = 0.
The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals. In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration.
January 7, 2025 at 12:37 PM. A drug trafficking investigation in Bogalusa, Louisiana, has led to the arrest of the city's mayor, Tyrin Truong, and several other people, police said Tuesday.
The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists of integrals. In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration.
The remaining five Australians from the infamous “Bali Nine” drug gang are “relieved and happy” to be home after Canberra struck a deal with Jakarta to end their two decades of imprisonment.
December 15, 2024 at 2:48 PM Washington Commanders tight end Zach Ertz left Sunday's 20-19 win over the New Orleans Saints with a concussion. Ertz suffered the injury in the first half following a ...