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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 Shell integration ： ウィキペディア英語版 Shell integration Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis ''perpendicular to'' the axis of revolution. This is in contrast to disk integration which integrates along the axis ''parallel'' to the axis of revolution. ==Definition== The shell method goes as follows: Consider a volume in three dimensions obtained by rotating a cross-section in the ''xy''-plane around the ''y''-axis. Suppose the cross-section is defined by the graph of the positive function ''f''(''x'') on the interval (''b'' ). Then the formula for the volume will be: :$2\; \backslash pi\; \backslash int\_a^b\; x\; f(x)\; \backslash mathrmx$ If the function is of the ''y'' coordinate and the axis of rotation is the ''x''-axis then the formula becomes: :$2\; \backslash pi\; \backslash int\_a^b\; y\; f(y)\; \backslash mathrmy$ The formula is derived by computing the double integral in polar coordinates. 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「Shell integration」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.