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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 Volume integral ： ウィキペディア英語版 Volume integral In mathematics—in particular, in multivariable calculus—a volume integral refers to an integral over a 3-dimensional domain, that is, it is a special case of multiple integrals. Volume integrals are especially important in physics for many applications, for example, to calculate flux densities. ==In coordinates== It can also mean a triple integral within a region ''D'' in R3 of a function $f(x,y,z),$ and is usually written as: :$\backslash iiint\backslash limits\_D\; f(x,y,z)\backslash ,dx\backslash ,dy\backslash ,dz.$ A volume integral in cylindrical coordinates is :$\backslash iiint\backslash limits\_D\; f(r,\backslash theta,z)\backslash ,r\backslash ,dr\backslash ,d\backslash theta\backslash ,dz,$ and a volume integral in spherical coordinates (using the convention for angles with $\backslash theta$ as the azimuth and $\backslash phi$ measured from the polar axis (see more on conventions)) has the form :$\backslash iiint\backslash limits\_D\; f(r,\backslash theta,\backslash phi)\backslash ,r^2\; \backslash sin\backslash phi\; \backslash ,dr\; \backslash ,d\backslash theta\backslash ,\; d\backslash phi\; .$ 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「Volume 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.