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Definitions. For real non-zero values of x, the exponential integral Ei ( x) is defined as. The Risch algorithm shows that Ei is not an elementary function. The definition above can be used for positive values of x, but the integral has to be understood in terms of the Cauchy principal value due to the singularity of the integrand at zero. For ...
WolframAlpha was free at launch, but later Wolfram Research attempted to monetize the service by launching an iOS application with a cost of $50, while the website itself was free. That plan was abandoned after criticism. On February 8, 2012, WolframAlpha Pro was released, offering users additional features for a monthly subscription fee.
Advanced. Specialized. Miscellaneous. v. t. e. In integral calculus, the tangent half-angle substitution is a change of variables used for evaluating integrals, which converts a rational function of trigonometric functions of into an ordinary rational function of by setting . This is the one-dimensional stereographic projection of the unit ...
The slope field of () = +, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant c.. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f.
v. t. e. In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The algorithm transforms the problem of integration into a problem ...
Calculus. In mathematics, integrals of inverse functions can be computed by means of a formula that expresses the antiderivatives of the inverse of a continuous and invertible function , in terms of and an antiderivative of . This formula was published in 1905 by Charles-Ange Laisant. [1]
For example, Wolfram's Mathematica software and Wolfram Alpha define the complete elliptic integral of the first kind in terms of the parameter m, instead of the elliptic modulus k. Incomplete elliptic integral of the first kind. The incomplete elliptic integral of the first kind F is defined as
Stephen Wolfram. Stephen Wolfram ( / ˈwʊlfrəm / WUUL-frəm; born 29 August 1959) is a British-American [6] computer scientist, physicist, and businessman. He is known for his work in computer algebra, and theoretical physics. [7] [8] In 2012, he was named a fellow of the American Mathematical Society. [9]