翻訳と辞書 Words near each other ・ Quadratic bottleneck assignment problem ・ Quadratic classifier ・ Quadratic configuration interaction ・ Quadratic differential ・ Quadratic eigenvalue problem ・ Quadratic equation ・ Quadratic field ・ Quadratic form ・ Quadratic form (statistics) ・ Quadratic formula ・ Quadratic Frobenius test ・ Quadratic function ・ Quadratic Gauss sum ・ Quadratic growth ・ Quadratic integer ・ Quadratic integral ・ Quadratic integrate and fire ・ Quadratic irrational ・ Quadratic Jordan algebra ・ Quadratic Lie algebra ・ Quadratic mean diameter ・ Quadratic pair ・ Quadratic probing ・ Quadratic programming ・ Quadratic reciprocity ・ Quadratic residue ・ Quadratic residue code ・ Quadratic residuosity problem ・ Quadratic set ・ Quadratic sieve Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Quadratic integral ： ウィキペディア英語版 Quadratic integral In mathematics, a quadratic integral is an integral of the form :$\backslash int\; \backslash frac.$ It can be evaluated by completing the square in the denominator. :$\backslash int\; \backslash frac\; =\; \backslash frac\; \backslash int\; \backslash frac\; \backslash right)^2\; +\; \backslash left(\; \backslash frac\; -\; \backslash frac\; \backslash right)\}.$ ==Positive-discriminant case== Assume that the discriminant ''q'' = ''b''2 − 4''ac'' is positive. In that case, define ''u'' and ''A'' by :$u\; =\; x\; +\; \backslash frac$, and :$-A^2\; =\; \backslash frac\; -\; \backslash frac\; =\; \backslash frac\; \backslash left(\; 4ac\; -\; b^2\; \backslash right).$ The quadratic integral can now be written as :$\backslash int\; \backslash frac\; =\; \backslash frac1c\; \backslash int\; \backslash frac\; =\; \backslash frac1c\; \backslash int\; \backslash frac.$ The partial fraction decomposition :$\backslash frac\; =\; \backslash frac\; \backslash left(\; \backslash frac\; -\; \backslash frac\; \backslash right)$ allows us to evaluate the integral: :$\backslash frac1c\; \backslash int\; \backslash frac\; =\; \backslash frac\; \backslash ln\; \backslash left(\; \backslash frac\; \backslash right)\; +\; \backslash text.$ The final result for the original integral, under the assumption that ''q'' > 0, is :$\backslash int\; \backslash frac\; =\; \backslash frac\}\; q\; =\; b^2\; -\; 4ac.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Quadratic integral」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.