{"id":203950,"date":"2025-05-22T11:55:41","date_gmt":"2025-05-22T03:55:41","guid":{"rendered":"https:\/\/server.hk\/cnblog\/203950\/"},"modified":"2025-05-22T11:55:41","modified_gmt":"2025-05-22T03:55:41","slug":"%e6%9b%b2%e7%ba%bf%e7%a7%af%e5%88%86%e4%b8%adx%c2%b2%e7%9a%84%e5%8e%bb%e5%90%91%ef%bc%9a%e4%b8%ba%e4%bb%80%e4%b9%88%e2%88%abx%c2%b2sinx%c2%b3dx%e4%bc%9a%e5%8f%98%e6%88%901-3%e2%88%absinx%c2%b3dx","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/203950\/","title":{"rendered":"\u66f2\u7ebf\u79ef\u5206\u4e2dx\u00b2\u7684\u53bb\u5411\uff1a\u4e3a\u4ec0\u4e48\u222bx\u00b2sin(x\u00b3)dx\u4f1a\u53d8\u62101\/3\u222bsin(x\u00b3)dx\u00b3\uff1f"},"content":{"rendered":"<p><b><\/b>     <\/p>\n<h1>\u66f2\u7ebf\u79ef\u5206\u4e2dx\u00b2\u7684\u53bb\u5411\uff1a\u4e3a\u4ec0\u4e48\u222bx\u00b2sin(x\u00b3)dx\u4f1a\u53d8\u62101\/3\u222bsin(x\u00b3)dx\u00b3\uff1f<\/h1>\n<p>\u4eb2\u7231\u7684\u7f16\u7a0b\u5b66\u4e60\u7231\u597d\u8005\uff0c\u5982\u679c\u4f60\u70b9\u5f00\u4e86\u8fd9\u7bc7\u6587\u7ae0\uff0c\u8bf4\u660e\u4f60\u5bf9\u300a\u66f2\u7ebf\u79ef\u5206\u4e2dx\u00b2\u7684\u53bb\u5411\uff1a\u4e3a\u4ec0\u4e48\u222bx\u00b2sin(x\u00b3)dx\u4f1a\u53d8\u62101\/3\u222bsin(x\u00b3)dx\u00b3\uff1f\u300b\u5f88\u611f\u5174\u8da3\u3002\u672c\u7bc7\u6587\u7ae0\u5c31\u6765\u7ed9\u5927\u5bb6\u8be6\u7ec6\u89e3\u6790\u4e00\u4e0b\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e00\u4e0b\uff0c\u5e0c\u671b\u6240\u6709\u8ba4\u771f\u8bfb\u5b8c\u7684\u7ae5\u978b\u4eec\uff0c\u90fd\u6709\u5b9e\u8d28\u6027\u7684\u63d0\u9ad8\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241201\/1733050665674c41292fb57.jpg\" class=\"aligncenter\"><\/p>\n<p><strong>\u66f2\u7ebf\u79ef\u5206\u7684\u7591\u95ee<\/strong><\/p>\n<p>\u5728\u5c1d\u8bd5\u89e3\u51b3\u66f2\u7ebf\u79ef\u5206\u65f6\uff0c\u9047\u5230\u4e86\u4e00\u70b9\u56f0\u6270\u3002\u5728\u6807\u51c6\u7b54\u6848\u7684\u7b2c\u4e8c\u6b65\u4e2d\uff0c\u79ef\u5206\u88ab\u5199\u4e3a\uff1a<\/p>\n<pre>\u222b x\u00b2 sin(x\u00b3) dx<\/pre>\n<p>\u7136\u800c\uff0c\u5728\u7b2c\u4e09\u6b65\u4e2d\uff0c\u79ef\u5206\u53d8\u6210\u4e86\uff1a<\/p>\n<pre>1\/3 \u222b sin(x\u00b3) dx\u00b3<\/pre>\n<p>\u8fd9\u8ba9\u6211\u611f\u5230\u8ff7\u60d1\uff0c\u56e0\u4e3a x\u00b2 \u4f3c\u4e4e\u6d88\u5931\u4e86\u3002\u96be\u9053\u6807\u51c6\u7b54\u6848\u7b97\u9519\u4e86\uff1f<\/p>\n<p><strong>\u7b54\u6848\u5256\u6790<\/strong><\/p>\n<p>\u4ed4\u7ec6\u89c2\u5bdf\uff0c\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\uff1a<\/p>\n<pre>x\u00b2 dx = 1\/3 dx\u00b3<\/pre>\n<p>\u8fd9\u662f\u56e0\u4e3a\uff1a<\/p>\n<pre>d(x\u00b3) = 3x\u00b2(dx)<\/pre>\n<p>\u56e0\u6b64\uff0c\u5f53\u79ef\u5206\u65f6\uff0cx\u00b2 \u7684\u7cfb\u6570\u53d8\u6210 1\/3\u3002<\/p>\n<p>\u5c06\u6b64\u89c4\u5219\u5e94\u7528\u5230\u6700\u521d\u7684\u79ef\u5206\u4e2d\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<pre>\u222b x\u00b2 sin (x\u00b3) dx = \u222b 1\/3 sin(x\u00b3) dx\u00b3<\/pre>\n<p>\u8fd9\u5c31\u662f\u6807\u51c6\u7b54\u6848\u4e2d\u7b2c\u4e09\u6b65\u7684\u7531\u6765\u3002\u56e0\u6b64\uff0c\u7b54\u6848\u5b9e\u9645\u4e0a\u662f\u6b63\u786e\u7684\uff0cx\u00b2 \u5e76\u6ca1\u6709\u6d88\u5931\u3002<\/p>\n<p>\u7ec8\u4e8e\u4ecb\u7ecd\u5b8c\u5566\uff01\u5c0f\u4f19\u4f34\u4eec\uff0c\u8fd9\u7bc7\u5173\u4e8e\u300a\u66f2\u7ebf\u79ef\u5206\u4e2dx\u00b2\u7684\u53bb\u5411\uff1a\u4e3a\u4ec0\u4e48\u222bx\u00b2sin(x\u00b3)dx\u4f1a\u53d8\u62101\/3\u222bsin(x\u00b3)dx\u00b3\uff1f\u300b\u7684\u4ecb\u7ecd\u5e94\u8be5\u8ba9\u4f60\u6536\u83b7\u591a\u591a\u4e86\u5427\uff01\u6b22\u8fce\u5927\u5bb6\u6536\u85cf\u6216\u5206\u4eab\u7ed9\u66f4\u591a\u9700\u8981\u5b66\u4e60\u7684\u670b\u53cb\u5427~\u516c\u4f17\u53f7\u4e5f\u4f1a\u53d1\u5e03\u6587\u7ae0\u76f8\u5173\u77e5\u8bc6\uff0c\u5feb\u6765\u5173\u6ce8\u5427\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u66f2\u7ebf\u79ef\u5206\u4e2dx\u00b2\u7684\u53bb\u5411\uff1a\u4e3a\u4ec0\u4e48\u222bx&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4925],"tags":[],"class_list":["post-203950","post","type-post","status-publish","format-standard","hentry","category-4925"],"_links":{"self":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/203950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/comments?post=203950"}],"version-history":[{"count":0,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/203950\/revisions"}],"wp:attachment":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/media?parent=203950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/categories?post=203950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/tags?post=203950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}