{"id":5714,"date":"2014-08-25T06:00:57","date_gmt":"2014-08-24T21:00:57","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5714"},"modified":"2017-04-27T09:21:04","modified_gmt":"2017-04-27T00:21:04","slug":"post-5714","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5714","title":{"rendered":"\u7dda\u7a4d\u5206\u306e\u8a55\u4fa1"},"content":{"rendered":"
\"Fig.<\/a>
Fig. 6-2<\/figcaption><\/figure>\n

\u3000\u4eee\u306b\u5e73\u9762 z = 0 \u306b\u304a\u3051\u308b\u66f2\u7dda C<\/em> \u306e\u5f0f\u304c y = f(x) \u3067\u4e0e\u3048\u3089\u308c\u308b\u306a\u3089\uff0c\u7a4d\u5206\u306e\u5b9a\u7fa9\u3092\u5f97\u308b\u305f\u3081\u306b\u7dda\u7a4d\u5206 (14) \u306f\u88ab\u7a4d\u5206\u95a2\u6570\u5185\u3067 y = f(x),\\ dy = f'(x)dx \u3068\u7f6e\u63db\u3055\u308c\u3066\u8a55\u4fa1\u3055\u308c\u307e\u3059\uff0e<\/p>\n

\\displaystyle \\int_{a_1}^{a_2}[P\\{x, f(x)\\}dx + Q\\{x, f(x)\\}f'(x)dx] \\cdots(19)<\/p>\n

\u4e0a\u8a18\u306f\u901a\u5e38\u306e\u65b9\u6cd5\u3067\u8a55\u4fa1\u3057\u307e\u3059\uff0e<\/p>\n

\u3000\u540c\u69d8\u306b\u4eee\u306b C<\/em> \u304c x = g(y) \u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u308b\u306a\u3089 dx = g'(y)dy \u3068\u306a\u308a\u7dda\u7a4d\u5206\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\\displaystyle \\int_{b_1}^{b_2}[P\\{g(y), y\\}g'(y)dy + Q\\{g(y), y\\}dy]\\cdots(20)<\/p>\n

\u3000\u4eee\u306b C<\/em> \u304c\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u5f62\u5f0f x = \\phi(t),\\ y = \\psi(t) \u3067\u4e0e\u3048\u3089\u308c\u308b\u306a\u3089\uff0c\u7dda\u7a4d\u5206\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\\displaystyle \\int_{t_1}^{t_2} [P\\{ \\phi(t),\\ \\psi(t) \\}\\phi'(t)dt + Q\\{ \\phi(t),\\ \\psi(t) \\}\\psi'(t)dt] \\cdots (21)<\/p>\n

\u3053\u3053\u3067 t_1 \u304a\u3088\u3073 t_2 \u306f\u70b9 A \u304a\u3088\u3073\u70b9 B \u306b\u5bfe\u5fdc\u3059\u308b t \u306e\u5024\u3092\u793a\u3057\u307e\u3059\uff0e<\/p>\n

\u3000\u4e0a\u8a18\u65b9\u6cd5\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u8a55\u4fa1\u306b\u7528\u3044\u307e\u3059\uff0e<\/p>\n

\u3000\u540c\u69d8\u306e\u65b9\u6cd5\u3067\u7a7a\u9593\u66f2\u7dda\u306b\u6cbf\u3063\u305f\u7dda\u7a4d\u5206\u306e\u8a55\u4fa1\u3092\u884c\u3044\u307e\u3059\uff0e<\/p>\n