\u79ef\u5206\u662f\u5e38\u6570\uff0c\u662f\u5fae\u79ef\u5206\u5b66\u4e0e\u6570\u5b66\u5206\u6790\u91cc\u7684\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\uff0c\u901a\u5e38\u5206\u4e3a\u5b9a\u79ef\u5206\u548c\u4e0d\u5b9a\u79ef\u5206\u4e24\u79cd\u3002\u79ef\u5206\u4e2d\u7684\u52a0\u51cf\u8fd0\u7b97\u6cd5\u5219\u6307\u7684\u662f\u5bf9\u4e24\u4e2a\u6216\u591a\u4e2a\u51fd\u6570\u8fdb\u884c\u52a0\u51cf\u8fd0\u7b97\u7684\u89c4\u5219\u3002<\/p>\n
\u79ef\u5206\u7684\u52a0\u51cf\u4e58\u9664\u8fd0\u7b97\u6cd5\u5219<\/p>\n
\u79ef\u5206\u7684\u52a0\u51cf\u4e58\u9664\u8fd0\u7b97\u6cd5\u5219\u5982\u4e0b\uff1a<\/p>\n
1\u3001\u52a0\u6cd5\u6cd5\u5219\uff1a\u5305\u62ec\u4e24\u4e2a\u91cd\u8981\u516c\u5f0f\u3002\u7b2c\u4e00\u4e2a\u516c\u5f0f\u662f\u79ef\u5206\u6c42\u548c\u516c\u5f0f\uff0c\u5373\u222b[a,b]\uff08f\uff08x\uff09+g\uff08x\uff09\uff09dx=\u222b[a,b]f\uff08x\uff09dx+\u222b[a,b]g\uff08x\uff09dx\u3002\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u662f\u79ef\u5206\u7684\u7ebf\u6027\u6027\uff0c\u5373\u222b[a,b]\uff08\u03b1f\uff08x\uff09+\u03b2g\uff08x\uff09\uff09dx=\u03b1\u222b[a,b]f\uff08x\uff09dx+\u03b2\u222b[a,b]g\uff08x\uff09dx\uff0c\u5176\u4e2d\u03b1\u3001\u03b2\u4e3a\u4efb\u610f\u5e38\u6570\u3002<\/p>\n
\u8fd9\u610f\u5473\u7740\u5bf9\u4e8e\u67d0\u4e00\u533a\u95f4\u5185\u7684\u4e24\u4e2a\u51fd\u6570\uff0c\u6c42\u5b83\u4eec\u7684\u79ef\u5206\u548c\u65f6\uff0c\u53ef\u4ee5\u5c06\u4e24\u4e2a\u51fd\u6570\u7684\u79ef\u5206\u5206\u522b\u6c42\u51fa\u540e\u518d\u76f8\u52a0\uff1b\u5f53\u9700\u8981\u5c06\u67d0\u4e00\u533a\u95f4\u5185\u7684\u51fd\u6570\u4e58\u4ee5\u4e00\u4e2a\u5e38\u6570\u540e\u6c42\u79ef\u5206\u65f6\uff0c\u53ef\u4ee5\u5c06\u8be5\u5e38\u6570\u5206\u522b\u4e58\u4ee5\u51fd\u6570\u7684\u79ef\u5206\u540e\u518d\u76f8\u52a0\u3002<\/p>\n
2\u3001\u51cf\u6cd5\u6cd5\u5219\uff1a\u4e0e\u52a0\u6cd5\u6cd5\u5219\u57fa\u672c\u76f8\u540c\uff0c\u53ea\u662f\u5728\u7b2c\u4e00\u4e2a\u516c\u5f0f\u4e2d\u591a\u4e86\u4e00\u4e2a\u8d1f\u53f7\uff0c\u5373\u222b[a,b]\uff08f\uff08x\uff09-g\uff08x\uff09\uff09dx=\u222b[a,b]f\uff08x\uff09dx-\u222b[a,b]g\uff08x\uff09dx\u3002\u8fd9\u4e2a\u516c\u5f0f\u610f\u5473\u7740\u5f53\u9700\u8981\u5bf9\u67d0\u4e00\u533a\u95f4\u5185\u7684\u4e24\u4e2a\u51fd\u6570\u8fdb\u884c\u79ef\u5206\u5dee\u65f6\uff0c\u53ef\u4ee5\u5c06\u8be5\u533a\u95f4\u5185\u7b2c\u4e8c\u4e2a\u51fd\u6570\u7684\u79ef\u5206\u53d6\u76f8\u53cd\u6570\u540e\u518d\u4e0e\u7b2c\u4e00\u4e2a\u51fd\u6570\u7684\u79ef\u5206\u76f8\u52a0\u3002<\/p>\n
3\u3001\u4e58\u6cd5\u6cd5\u5219\uff1a\u7528\u4e8e\u6c42\u4e24\u4e2a\u51fd\u6570\u7684\u79ef\u7684\u79ef\u5206\uff0c\u5176\u516c\u5f0f\u4e3a\u222b[a,b]f\uff08x\uff09g\u2018\uff08x\uff09dx=f\uff08x\uff09g\uff08x\uff09\u2223[a,b]-\u222b[a,b]f\u2019\uff08x\uff09g\uff08x\uff09dx\u3002\u8fd9\u610f\u5473\u7740\u5f53\u9700\u8981\u6c42\u67d0\u4e00\u533a\u95f4\u5185\u4e24\u4e2a\u51fd\u6570\u4e58\u79ef\u7684\u79ef\u5206\u65f6\uff0c\u53ef\u4ee5\u5c06\u5176\u4e2d\u4e00\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\u4e58\u53e6\u4e00\u4e2a\u51fd\u6570\u7684\u539f\u51fd\u6570\u540e\u518d\u51cf\u53bb\u53e6\u4e00\u4e2a\u51fd\u6570\u7684\u5bfc\u6570\u4e58\u7b2c\u4e00\u4e2a\u51fd\u6570\u7684\u539f\u51fd\u6570\u7684\u79ef\u5206\u3002<\/p>\n
4\u3001\u9664\u6cd5\u6cd5\u5219\uff1a\u7528\u4e8e\u6c42\u4e24\u4e2a\u51fd\u6570\u76f8\u9664\u7684\u79ef\u5206\uff0c\u5176\u516c\u5f0f\u4e3a\u222b[a,b]f\uff08x\uff09g\u2018\uff08x\uff09dx=ln|g\uff08x\uff09|\u2223[a,b]-\u222b[a,b]f\u2019\uff08x\uff09ln|g\uff08x\uff09|dx\u3002\u8fd9\u610f\u5473\u7740\u5f53\u9700\u8981\u6c42\u67d0\u4e00\u533a\u95f4\u5185\u4e24\u4e2a\u51fd\u6570\u76f8\u9664\u7684\u79ef\u5206\u65f6\uff0c\u53ef\u4ee5\u5c06\u88ab\u9664\u6570\u7684\u5bfc\u6570\u4e58\u4ee5\u9664\u6570\u7684\u5012\u6570\u540e\u6c42\u79ef\u5206\uff0c\u518d\u51cf\u53bb\u9664\u6570\u7684\u5bfc\u6570\u4e58\u4ee5\u88ab\u9664\u6570\u9664\u4ee5\u9664\u6570\u7684\u79ef\u5206\u7684\u81ea\u7136\u5bf9\u6570\u503c\u3002<\/p>\n
\u79ef\u5206\u52a0\u51cf\u4e58\u9664\u7684\u5173\u7cfb<\/p>\n
\u7814\u7a76\u51fd\u6570\u5fae\u5206\u4e0e\u79ef\u5206\u7684\u76ee\u7684\u548c\u610f\u4e49<\/p>\n
\u52a0\u51cf\u4e58\u9664\u90fd\u662f\u9488\u5bf9\u6570\u7684\u8fd0\u7b97\uff0c\u5f53\u9762\u5bf9\u66f4\u590d\u6742\u7684\u95ee\u9898\u65f6\uff0c\u52a0\u51cf\u4e58\u9664\u5c31\u4e0d\u591f\u7528\u4e86\uff0c\u5fae\u5206\u548c\u79ef\u5206\u662f\u9488\u5bf9\u51fd\u6570\u7684\u8fd0\u7b97\u3002<\/p>\n
\u52a0\u51cf\u4e58\u9664\u5bf9\u51fd\u6570\u4e5f\u662f\u6709\u6548\u7684\uff0c\u4f46\u662f\u4ec5\u4ec5\u662f\u9010\u70b9\u8ba1\u7b97\u7684\uff0c\u4e0d\u662f\u6574\u4f53\u7684\u8fd0\u7b97\u3002<\/p>\n
\u901a\u8fc7\u5f15\u5165\u65b0\u7684\u8ba1\u7b97\u65b9\u5f0f\uff0c\u5373\u5fae\u5206\u548c\u79ef\u5206\uff0c\u53ef\u4ee5\u5bf9\u51fd\u6570\u5728\u6574\u4f53\u4e0a\u8fdb\u884c\u8fd0\u7b97\u4ece\u800c\u5f97\u5230\u4e00\u4e9b\u65b0\u7684\u51fd\u6570\uff0c\u8fd9\u5c31\u62d3\u5c55\u4e86\u4ee5\u524d\u7684\u52a0\u51cf\u4e58\u9664\u7684\u8fd0\u7b97\u3002<\/p>\n
\u9ad8\u4e2d\u79ef\u5206\u4e58\u9664\u8fd0\u7b97\u6cd5\u5219<\/p>\n
\u5b9a\u79ef\u5206\u6709\u5206\u6b65\u79ef\u5206\uff0c\u516c\u5f0f\u222budv=uv-\u222bvdu<\/p>\n
\u6ca1\u6709\u4ec0\u4e48\u4e58\u9664\u6cd5\u5219<\/p>\n
\u5b9a\u79ef\u5206\u6ca1\u6709\u4e58\u9664\u6cd5\u5219\uff0c\u591a\u6570\u7528\u6362\u5143\u79ef\u5206\u6cd5\u548c\u5206\u90e8\u79ef\u5206\u6cd5\u3002<\/p>\n
\u6362\u5143\u79ef\u5206\u6cd5\u5c31\u662f\u5bf9\u590d\u5408\u51fd\u6570\u4f7f\u7528\u7684\uff1a<\/p>\n
\u8bbey=f\uff08u\uff09\uff0cu=g\uff08x\uff09<\/p>\n
\u222bf[g\uff08x\uff09]g\u2018\uff08x\uff09dx=\u222bf\uff08u\uff09du<\/p>\n
\u6362\u5143\u79ef\u5206\u6cd5\u6709\u5206\u7b2c\u4e00\u6362\u5143\u79ef\u5206\u6cd5\uff1a\u8bbeu=h\uff08x\uff09\uff0cdu=h\u2019\uff08x\uff09dx<\/p>\n
\u548c\u7b2c\u4e8c\u6362\u5143\u79ef\u5206\u6cd5\uff1a\u5373\u7528\u4e09\u89d2\u51fd\u6570\u5316\u7b80\uff0c\u8bbex=sin\u03b8\u3001x=tan\u03b8\u53cax=sec\u03b8<\/p>\n
\u8fd8\u6709\u5c06\u4e09\u89d2\u51fd\u6570\u7684\u79ef\u5206\u5316\u4e3a\u6709\u7406\u51fd\u6570\u7684\u79ef\u5206\u7684\u6362\u5143\u6cd5\uff1a<\/p>\n
\u8bbeu=tan\uff08x\/2\uff09\uff0cdx=2\/\uff081+u?\uff09du\uff0csinx=2u\/\uff081+u?\uff09\uff0ccosx=\uff081-u?\uff09\/\uff081+u?\uff09<\/p>\n
\u5206\u90e8\u79ef\u5206\u6cd5\u591a\u6570\u5bf9\u6709\u4e58\u79ef\u5173\u7cfb\u7684\u51fd\u6570\u4f7f\u7528\u7684\uff1a<\/p>\n
\u222buv’dx<\/p>\n
=\u222budv<\/p>\n
=uv-\u222bvdu<\/p>\n
=uv-\u222bvu’du<\/p>\n
\u5176\u4e2d\u51fd\u6570v\u6bd4\u51fd\u6570u\u7b80\u5355\uff0c\u7c4d\u6b64\u7b80\u5316u\u3002\u662f\u7531\u5bfc\u6570\u7684\u4e58\u6cd5\u5219\uff08uv\uff09\u2018=uv’+vu\u2019\u63a8\u5bfc\u8fc7\u6765\u7684\u3002<\/p>\n
\u6709\u65f6\u5019v’=1\u7684\uff0c\u4f8b\u5982\u6c42\u222blnxdx\u3001\u222bln\uff081+x\uff09dx\u7b49\u7b49\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u79ef\u5206\u662f\u5e38\u6570\uff0c\u662f\u5fae\u79ef\u5206\u5b66\u4e0e\u6570\u5b66\u5206\u6790\u91cc\u7684\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\uff0c\u901a\u5e38\u5206\u4e3a\u5b9a\u79ef\u5206\u548c\u4e0d\u5b9a\u79ef\u5206\u4e24\u79cd\u3002\u79ef\u5206\u4e2d\u7684\u52a0\u51cf\u8fd0\u7b97\u6cd5\u5219\u6307\u7684\u662f\u5bf9\u4e24 … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1021","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"_links":{"self":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/1021","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/comments?post=1021"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/1021\/revisions"}],"predecessor-version":[{"id":1022,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/1021\/revisions\/1022"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/media?parent=1021"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/categories?post=1021"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/tags?post=1021"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}