{"id":450,"date":"2024-02-10T11:50:30","date_gmt":"2024-02-10T02:50:30","guid":{"rendered":"https:\/\/www.kd2.jp\/memo3\/?p=450"},"modified":"2024-02-10T12:05:19","modified_gmt":"2024-02-10T03:05:19","slug":"%e7%a9%8d%e5%88%86-xa-eb","status":"publish","type":"post","link":"https:\/\/www.kd2.jp\/memo3\/?p=450","title":{"rendered":"\u7a4d\u5206 x^a e^b"},"content":{"rendered":"


\n\\( \\int xe^{x} \\, dx = e^{x} (x – 1) \\)
\n\\( \\int xe^{-x} \\, dx = -e^{x} (x + 1) \\)
\n\\( \\int x^{2}e^{x} \\, dx = e^{x} (x^{2} – 2x + 2) \\)
\n\\( \\int x^{2}e^{-x} \\, dx = -e^{x} (x^{2} + 2x + 2) \\)
\n\\( \\int x^{3}e^{x} \\, dx = e^{x} (x^{3} – 3x^{2} + 6x – 6) \\)
\n\\( \\int x^{3}e^{-x} \\, dx = -e^{x} (x^{3} + 3x^{2} + 6x + 6) \\)<\/p>\n

\\( \\)<\/p>\n

\\( \\int xe^{2x} \\, dx = e^{2x} ( \\frac{1}{2}x – \\frac{1}{4} ) \\)
\n\\( \\int xe^{-2x} \\, dx = -e^{2x} ( \\frac{1}{2}x + \\frac{1}{4} ) \\)
\n\\( \\int x^{2}e^{2x} \\, dx = e^{2x} ( \\frac{1}{2}x^{2} – \\frac{1}{2}x + \\frac{1}{4} ) \\)
\n\\( \\int x^{2}e^{-2x} \\, dx = -e^{2x} ( \\frac{1}{2}x^{2} + \\frac{1}{2}x + \\frac{1}{4} ) \\)
\n\\( \\int x^{3}e^{2x} \\, dx = e^{x} ( \\frac{1}{2}x^{3} – \\frac{3}{4}x^{2} + \\frac{3}{4}x – \\frac{3}{8} ) \\)
\n\\( \\int x^{3}e^{-2x} \\, dx = -e^{x} ( \\frac{1}{2}x^{3} + \\frac{3}{4}x^{2} + \\frac{3}{4}x + \\frac{3}{8} ) \\)<\/p>\n","protected":false},"excerpt":{"rendered":"

\\( \\int xe^{x} \\, dx = e^{x} (x – 1) \\) \\( \\int xe^{-x} \\, dx = -e^{x} (x + 1) \\) \\( \\int x^{2}e^{x} \\, … \u7d9a\u304d\u3092\u8aad\u3080 \u7a4d\u5206 x^a e^b<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/posts\/450"}],"collection":[{"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=450"}],"version-history":[{"count":17,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/posts\/450\/revisions"}],"predecessor-version":[{"id":467,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=\/wp\/v2\/posts\/450\/revisions\/467"}],"wp:attachment":[{"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=450"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=450"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kd2.jp\/memo3\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}