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  2. Integral - Wikipedia

    en.wikipedia.org/wiki/Integral

    In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, [a] the other being differentiation. Integration was initially used to solve problems in mathematics and ...

  3. Integration by parts - Wikipedia

    en.wikipedia.org/wiki/Integration_by_parts

    This visualization also explains why integration by parts may help find the integral of an inverse function f−1 (x) when the integral of the function f (x) is known. Indeed, the functions x (y) and y (x) are inverses, and the integral ∫ x dy may be calculated as above from knowing the integral ∫ y dx.

  4. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    Desmos was founded by Eli Luberoff, a math and physics double major from Yale University, [3] and was launched as a startup at TechCrunch 's Disrupt New York conference in 2011. [4] As of September 2012, it had received around 1 million US dollars of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google ...

  5. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    More detail may be found on the following pages for the lists of integrals: Gradshteyn, Ryzhik, Geronimus, Tseytlin, Jeffrey, Zwillinger, and Moll 's (GR) Table of Integrals, Series, and Products contains a large collection of results. An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with ...

  6. Gaussian integral - Wikipedia

    en.wikipedia.org/wiki/Gaussian_integral

    Integral of the Gaussian function, equal to sqrt (π) A graph of the function and the area between it and the -axis, (i.e. the entire real line) which is equal to . The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function over the entire real line. Named after the German mathematician Carl ...

  7. Romberg's method - Wikipedia

    en.wikipedia.org/wiki/Romberg's_method

    Romberg's method. In numerical analysis, Romberg's method[1] is used to estimate the definite integral by applying Richardson extrapolation [2] repeatedly on the trapezium rule or the rectangle rule (midpoint rule). The estimates generate a triangular array. Romberg's method is a Newton–Cotes formula – it evaluates the integrand at equally ...

  8. Complete Fermi–Dirac integral - Wikipedia

    en.wikipedia.org/wiki/Complete_Fermi–Dirac...

    In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j is defined by. This equals. where is the polylogarithm. Its derivative is. and this derivative relationship is used to define the Fermi-Dirac integral for nonpositive indices j. Differing notation for appears in the literature, for ...

  9. Numerical integration - Wikipedia

    en.wikipedia.org/wiki/Numerical_integration

    Numerical integration has roots in the geometrical problem of finding a square with the same area as a given plane figure (quadrature or squaring), as in the quadrature of the circle. The term is also sometimes used to describe the numerical solution of differential equations.

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