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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.
Plot of Si(x) for 0 ≤ x ≤ 8π. Plot of the cosine integral function Ci(z) in the complex plane from −2 − 2i to 2 + 2i. The different sine integral definitions are = = .
4 Times Square is on the eastern side of Broadway, between 42nd Street and 43rd Street, at the southern end of Times Square in the Midtown Manhattan neighborhood of New York City. [ 2 ] [ 3 ] The land lot is trapezoidal and covers 45,800 sq ft (4,250 m 2 ).
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).
The substitution is described in most integral calculus textbooks since the late 19th century, usually without any special name. [5] It is known in Russia as the universal trigonometric substitution , [ 6 ] and also known by variant names such as half-tangent substitution or half-angle substitution .
The ritual of watching a dazzling ball descend from a pole in Times Square has taken place since the early 20th century, when electricity use was so new it seemed like magic.
A line integral (sometimes called a path integral) is an integral where the function to be integrated is evaluated along a curve. [42] Various different line integrals are in use. In the case of a closed curve it is also called a contour integral. The function to be integrated may be a scalar field or a vector field.
Pop singer-songwriter Mark Ambor was scheduled to perform in Times Square from 8:03 p.m. to 8:12 p.m. EST, according to organizers of the New Year's Eve festivities at the "Crossroads of the World."