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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.
For a complete list of integral formulas, see lists of integrals. The inverse trigonometric functions are also known as the "arc functions". C is used for the arbitrary constant of integration that can only be determined if something about the value of the integral at some point is known. Thus each function has an infinite number of ...
An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with volumes 1–3 listing integrals and series of elementary and special functions, volume 4–5 are tables of Laplace transforms).
In mathematics, the definite integral ()is the area of the region in the xy-plane bounded by the graph of f, the x-axis, and the lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total.
In integral calculus, Euler's formula for complex numbers may be used to evaluate integrals involving trigonometric functions. Using Euler's formula, any trigonometric function may be written in terms of complex exponential functions, namely e i x {\displaystyle e^{ix}} and e − i x {\displaystyle e^{-ix}} and then integrated.
The most expensive government shutdown in history led to about $3 billion permanently taken out of the US economy, according to the Congressional Budget Office. The reason: that 2018-2019 standoff ...
Mavericks-Suns brawl ends with 3 ejected after punch thrown. Sports. Associated Press. Mitchell scores 33, Cavs beat Nuggets 149-135 for 6th straight win. Weather. Weather. CBS News.
Valerie Bertinelli is celebrating two years of personal growth.. The Food Network, 64, alum finalized her divorce from ex-husband Tom Vitale on Nov. 22, 2022. “Today marks two years of freedom ...