integral cosine

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• Integral of secant cubed — One of the more challenging indefinite integrals of elementary calculus is:int sec^3 x , dx = frac{1}{2}sec x an x + frac{1}{2}ln|sec x + an x| + C.There are a number of reasons why this particular antiderivative is worthy of special attention:*… …   Wikipedia

• Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

• Sinus intégral —  Ne pas confondre avec la fonction sinus cardinal. Tracé de Si(x) pour . La fo …   Wikipédia en Français

• Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

• Sine and cosine transforms — In mathematics, the Fourier sine and cosine transforms are special cases of the continuous Fourier transform, arising naturally when attempting to transform odd and even functions, respectively. The general Fourier transform is defined as:… …   Wikipedia

• Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Logarithmic integral function — In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It occurs in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of… …   Wikipedia

• Green's function for the three-variable Laplace equation — The free space Green s function for the three variable Laplace equation is given in terms of the reciprocal distance between two points. That is to say the solution of the equation : abla^2 G(mathbf{x},mathbf{x }) = delta(mathbf{x} mathbf{x }) is …   Wikipedia

• Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …   Wikipedia

• Clenshaw–Curtis quadrature — and Fejér quadrature are methods for numerical integration, or quadrature , that are based on an expansion of the integrand in terms of Chebyshev polynomials. Equivalently, they employ a change of variables x = cos θ and use a discrete… …   Wikipedia

• Indian mathematics — mdash;which here is the mathematics that emerged in South Asia from ancient times until the end of the 18th century mdash;had its beginnings in the Bronze Age Indus Valley civilization (2600 1900 BCE) and the Iron Age Vedic culture (1500 500 BCE) …   Wikipedia