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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク List of definite integrals ： ウィキペディア英語版 List of definite integrals In mathematics, the definite integral: : $\backslash int\_a^b\; f(x)\backslash ,\; dx$ is the area of the region in the ''xy''-plane bounded by the graph of ''f'', the ''x''-axis, and the lines ''x'' = ''a'' and ''x'' = ''b'', such that area above the ''x''-axis adds to the total, and that below the ''x''-axis subtracts from the total. The fundamental theorem of calculus establishes the relationship between indefinite and definite integrals and introduces a technique for evaluating definite integrals. If the interval is infinite the definite integral is called an ''improper integral'' and defined by using appropriate limiting procedures. for example: : $\backslash int\_a^\backslash infty\; f(x)\backslash ,\; dx=\backslash lim\_\; \backslash int\_a^b\; f(x)\backslash ,\; dx$ The following is a list of the most common definite Integrals. For a list of indefinite integrals see ''List of indefinite integrals'' ==Definite integrals involving rational or irrational expression== : $\backslash int\_0^\backslash infty\; \backslash frac\}=\backslash frac$ : : : $\backslash int\_0^\backslash infty\; \backslash frac\backslash frac$ : $\backslash int\_0^\backslash infty\; \backslash frac\}\}=\backslash frac$ : $\backslash int\_0^a\; \backslash sqrt\}\; \backslash ,\; dx\; =\backslash frac$ : $\backslash int\_0^a\; x^m\; (a^n-x^n)^p\backslash ,dx=\backslash frac$ : 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「List of definite integrals」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.