{"id":6422,"date":"2023-06-01T15:18:51","date_gmt":"2023-06-01T06:18:51","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=6422"},"modified":"2024-04-17T10:36:22","modified_gmt":"2024-04-17T01:36:22","slug":"%e5%ba%83%e7%be%a9%e3%81%ae%e7%a9%8d%e5%88%86%e3%83%bb%e7%84%a1%e9%99%90%e7%a9%8d%e5%88%86%e3%81%ae%e4%be%8b%e9%a1%8c","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e5%ba%83%e7%be%a9%e3%81%ae%e7%a9%8d%e5%88%86\/%e5%ba%83%e7%be%a9%e3%81%ae%e7%a9%8d%e5%88%86%e3%83%bb%e7%84%a1%e9%99%90%e7%a9%8d%e5%88%86%e3%81%ae%e4%be%8b%e9%a1%8c\/","title":{"rendered":"\u5e83\u7fa9\u306e\u7a4d\u5206\u30fb\u7121\u9650\u7a4d\u5206\u306e\u4f8b\u984c"},"content":{"rendered":"

<\/p>\n

\\(1. \\quad\\displaystyle \\int_0^2 \\log x\\, dx\\)<\/h3>\n

$$\\int_0^2 \\log x\\, dx = \\Bigl[ x \\log x -x \\Bigr]_0^2 = \\cdots$$<\/p>\n

\u305d\u3082\u305d\u3082\u88ab\u7a4d\u5206\u95a2\u6570 $\\log x$ \u306f $x = 0$ \u3067\u6709\u754c\u3067\u306f\u306a\u3044\u3002<\/p>\n

\\(\\displaystyle 0\\times\\log 0 \\) \u306f \\( 0 \\times (-\\infty)\\) \u306b\u306a\u3063\u3066\u3057\u307e\u3044\u305d\u3046\u3060\u304c\uff0c\u3069\u3046\u3059\u308b\uff1f<\/p>\n

$$\\lim_{x \\rightarrow 0} x \\log x = \\lim_{x \\rightarrow 0} \\frac{\\log x}{\\frac{1}{x}} = \\cdots$$<\/p>\n

\\(\\displaystyle \\frac{-\\infty}{\\infty}\\) \u306e\u5f62\u306e\u4e0d\u5b9a\u5f62\u3060\u304b\u3089\uff0c\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066…<\/p>\n

\\(2. \\quad\\displaystyle \\int_1^{\\infty} \\frac{\\log x}{x^2}\\,dx\\)<\/h3>\n

\u3053\u308c\u3082\uff0c\u305d\u3082\u305d\u3082\u88ab\u7a4d\u5206\u95a2\u6570 $\\displaystyle \\frac{\\log x}{x^2}$ \u304c $x \\rightarrow \\infty$ \u3067 $\\displaystyle \\frac{\\infty}{\\infty}$ \u306e\u4e0d\u5b9a\u5f62\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u7a4d\u5206\u3059\u308b\u307e\u3048\u306b\u6975\u9650<\/p>\n

$$\\lim_{x \\rightarrow \\infty} \\frac{\\log x}{x^2}$$<\/p>\n

\u304c\u3069\u3046\u306a\u3063\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3002<\/p>\n

\u305d\u306e\u5f8c\uff0c\u307e\u305a\u306a\u3093\u3068\u304b\u3057\u3066\u539f\u59cb\u95a2\u6570\u3092\u6c42\u3081\uff0c\\(x \\rightarrow \\infty\\) \u306e\u3068\u304d\u306b\u4e0d\u5b9a\u5f62\u306b\u306a\u308b\u3088\u3046\u3060\u3063\u305f\u3089\uff0c\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3067…<\/p>\n

\\(3. \\quad\\displaystyle \\int_0^{\\infty} x^2 e^{-2x}\\,dx\\)<\/h3>\n

 <\/p>\n

\\(4. \\quad\\displaystyle \\int_0^{\\infty} x^3 e^{-x^2}\\,dx\\)<\/h3>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":3274,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-6422","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6422","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=6422"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6422\/revisions"}],"predecessor-version":[{"id":8436,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6422\/revisions\/8436"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/3274"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=6422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}