Definition, Betydelse & Synonymer | Engelska ordet ANTIDERIVATIVE

Definition av ANTIDERIVATIVE

1. (matematik) antiderivata, primitiv funktion

Exempel på hur du använder ANTIDERIVATIVE i en mening

• Antiderivatives are related to definite integrals through the second fundamental theorem of calculus: the definite integral of a function over a closed interval where the function is Riemann integrable is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.
• It may be possible to find an antiderivative symbolically, but it may be easier to compute a numerical approximation than to compute the antiderivative.
• A holomorphic function need not possess an antiderivative on its domain, unless one imposes additional assumptions.
• Higher Algebra (including certain topics from Linear Algebra), Combinatorics, probability (including topics like conditional probability, Law of total probability, Bayes theorem), Geometry, coordinate system (points and lines, circles, parabolas, ellipses and hyperbolas), Trigonometry (including the inverse trigonometric functions), algebraic functions, exponential functions, logarithmic functions, floor function, fractional part function, signum function, even and odd functions, periodic functions, composite Function, inverse functions, limits, derivative of a function, analysis of continuity and differentiability of a function, derivatives and their applications (tangents and normals to a function, angle between curves, Rolle's theorem, Mean Value Theorem, monotonicity of a function, and maxima and minima of a function), indefinite antiderivative of a function, definite integrals, analysis of area bounded by a curve and its axis, and differential equations.
• It is a good illustration of special techniques for evaluating definite integrals, particularly when it is not useful to directly apply the fundamental theorem of calculus due to the lack of an elementary antiderivative for the integrand, as the sine integral, an antiderivative of the sinc function, is not an elementary function.

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