Several Integrability Formulas of Special Functions. Part II
نویسندگان
چکیده
منابع مشابه
Several Integrability Formulas of Special Functions. Part II
In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3]. For simplicity, we adopt the following rules: r, x, a, b denote real numbers, n, m denote elements of N, A denotes a closed-interval subset of R, and Z denotes an open subset of R. One can pr...
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In this article, we give several integrability formulas of special and composite functions including trigonometric function, inverse trigonometric function, hyperbolic function and logarithmic function. The notation and terminology used here are introduced in the following papers:
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The papers [11], [13], [14], [1], [8], [10], [2], [4], [7], [5], [6], [9], [15], [3], and [12] provide the notation and terminology for this paper. For simplicity, we use the following convention: x, a denote real numbers, n denotes a natural number, Z denotes an open subset of R, and f , f1, f2 denote partial functions from R to R. One can prove the following propositions: (1) If a > 0, then e...
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(Def. 2) cosec = 1 the function sin . For simplicity, we follow the rules: x, a, b, c are real numbers, n is a natural number, Z is an open subset of R, and f , f1, f2 are partial functions from R to R. One can prove the following propositions: (1) If (the function cos)(x) 6= 0, then sec is differentiable in x and (sec)′(x) = (the function sin)(x) (the function cos)(x)2 . (2) If (the function s...
متن کاملIntegrability Formulas. Part II
The terminology and notation used here have been introduced in the following articles: [12], [13], [2], [3], [9], [1], [6], [11], [14], [4], [18], [7], [8], [5], [19], [10], [16], [17], and [15]. For simplicity, we use the following convention: a, x are real numbers, n is an element of N, A is a closed-interval subset of R, f , h, f1, f2 are partial functions from R to R, and Z is an open subse...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2009
ISSN: 1898-9934,1426-2630
DOI: 10.2478/v10037-009-0003-0