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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 integrals of logarithmic functions ： ウィキペディア英語版 List of integrals of logarithmic functions The following is a list of integrals (antiderivative functions) of logarithmic functions. For a complete list of integral functions, see list of integrals. ''Note:'' ''x''>0 is assumed throughout this article, and the constant of integration is omitted for simplicity. ==Integrals involving only logarithmic functions== : $\backslash int\backslash log\_b\; x\backslash ;dx\; =\; x\backslash log\_b\; \backslash frac$ : $\backslash int\backslash ln\; ax\backslash ;dx\; =\; x\backslash ln\; ax\; -\; x$ : $\backslash int\backslash ln\; (ax\; +\; b)\backslash ;dx\; =\; \backslash frac$ : $\backslash int\; (\backslash ln\; x)^2\backslash ;\; dx\; =\; x(\backslash ln\; x)^2\; -\; 2x\backslash ln\; x\; +\; 2x$ : $\backslash int\; (\backslash ln\; x)^n\backslash ;\; dx\; =\; x\backslash sum^\_(-1)^\; \backslash frac(\backslash ln\; x)^k\; =\; \backslash Theta(x\; (\backslash ln\; x)^n)$ : $\backslash int\; \backslash frac\; =\; \backslash ln|\backslash ln\; x|\; +\; \backslash ln\; x\; +\; \backslash sum^\backslash infty\_\backslash frac$ : $\backslash int\; \backslash frac\; =\; \backslash text(x)$ = the logarithmic integral (asymptotically, $\backslash text(x)\; =\; \backslash Theta(\backslash frac)$). : $\backslash int\; \backslash frac\; =\; -\backslash frac\backslash int\backslash fracn\backslash neq\; 1\backslash mbox$ 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 integrals of logarithmic functions」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.