[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/303443#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/303443","headline":"\u7f6e\u63db\u7a4d\u5206 – Wikipedia","name":"\u7f6e\u63db\u7a4d\u5206 – Wikipedia","description":"\u3053\u306e\u8a18\u4e8b\u306f\u691c\u8a3c\u53ef\u80fd\u306a\u53c2\u8003\u6587\u732e\u3084\u51fa\u5178\u304c\u5168\u304f\u793a\u3055\u308c\u3066\u3044\u306a\u3044\u304b\u3001\u4e0d\u5341\u5206\u3067\u3059\u3002\u51fa\u5178\u3092\u8ffd\u52a0\u3057\u3066\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u51fa\u5178\u691c\u7d22?:\u00a0“\u7f6e\u63db\u7a4d\u5206”\u00a0\u2013\u00a0\u30cb\u30e5\u30fc\u30b9\u00a0\u00b7 \u66f8\u7c4d\u00a0\u00b7 \u30b9\u30ab\u30e9\u30fc\u00a0\u00b7 CiNii\u00a0\u00b7 J-STAGE\u00a0\u00b7 NDL\u00a0\u00b7 dlib.jp\u00a0\u00b7 \u30b8\u30e3\u30d1\u30f3\u30b5\u30fc\u30c1\u00a0\u00b7 TWL\uff082017\u5e7411\u6708\uff09 \u7f6e\u63db\u7a4d\u5206\uff08\u3061\u304b\u3093\u305b\u304d\u3076\u3093, \u82f1\u8a9e: Integration by substitution\uff09\u306f\u3001\u7a4d\u5206\u306e\u65b9\u6cd5\u306e1\u3064\u3067\u3042\u308b\u3002\u90e8\u5206\u7a4d\u5206\u6cd5\u306b\u4e26\u3076\u5fae\u5206\u7a4d\u5206\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306e1\u3064\u3068\u3057\u3066\u4e3b\u306b\u4e0d\u5b9a\u7a4d\u5206\u306b\u7528\u3044\u3089\u308c\u308b\u3002 Table of Contents \u4e00\u5909\u6570\u306e\u7f6e\u63db[\u7de8\u96c6]\u4e0d\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]\u4f8b[\u7de8\u96c6]\u4f8b1[\u7de8\u96c6]\u4f8b2[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6] \u4e00\u5909\u6570\u306e\u7f6e\u63db[\u7de8\u96c6] \u4e0d\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]","datePublished":"2022-04-27","dateModified":"2022-04-27","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","height":"39","width":"50"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/303443","about":["Wiki"],"wordCount":3964,"articleBody":"\u3053\u306e\u8a18\u4e8b\u306f\u691c\u8a3c\u53ef\u80fd\u306a\u53c2\u8003\u6587\u732e\u3084\u51fa\u5178\u304c\u5168\u304f\u793a\u3055\u308c\u3066\u3044\u306a\u3044\u304b\u3001\u4e0d\u5341\u5206\u3067\u3059\u3002\u51fa\u5178\u3092\u8ffd\u52a0\u3057\u3066\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\u51fa\u5178\u691c\u7d22?:\u00a0“\u7f6e\u63db\u7a4d\u5206”\u00a0\u2013\u00a0\u30cb\u30e5\u30fc\u30b9\u00a0\u00b7 \u66f8\u7c4d\u00a0\u00b7 \u30b9\u30ab\u30e9\u30fc\u00a0\u00b7 CiNii\u00a0\u00b7 J-STAGE\u00a0\u00b7 NDL\u00a0\u00b7 dlib.jp\u00a0\u00b7 \u30b8\u30e3\u30d1\u30f3\u30b5\u30fc\u30c1\u00a0\u00b7 TWL\uff082017\u5e7411\u6708\uff09\u7f6e\u63db\u7a4d\u5206\uff08\u3061\u304b\u3093\u305b\u304d\u3076\u3093, \u82f1\u8a9e: Integration by substitution\uff09\u306f\u3001\u7a4d\u5206\u306e\u65b9\u6cd5\u306e1\u3064\u3067\u3042\u308b\u3002\u90e8\u5206\u7a4d\u5206\u6cd5\u306b\u4e26\u3076\u5fae\u5206\u7a4d\u5206\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306e1\u3064\u3068\u3057\u3066\u4e3b\u306b\u4e0d\u5b9a\u7a4d\u5206\u306b\u7528\u3044\u3089\u308c\u308b\u3002  Table of Contents\u4e00\u5909\u6570\u306e\u7f6e\u63db[\u7de8\u96c6]\u4e0d\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]\u4f8b[\u7de8\u96c6]\u4f8b1[\u7de8\u96c6]\u4f8b2[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u4e00\u5909\u6570\u306e\u7f6e\u63db[\u7de8\u96c6]\u4e0d\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]f(x){displaystyle f(x)}\u304c\u7a4d\u5206\u53ef\u80fd\u3067\u3042\u308b\u3068\u304d  x=g(t){displaystyle x=g(t)}\u3068\u304a\u304f\u3053\u3068\u3067f(x){displaystyle f(x)}\u306e\u7a4d\u5206\u306f\u6b21\u306e\u3088\u3046\u306a\u5f62\u306b\u5909\u5f62\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u222bf(x)dx=\u222bf(g(t))g\u2032(t)dt.{displaystyle int f(x),dx=int f(g(t))g'(t),dt.}\u30a4\u30f3\u30d5\u30a9\u30fc\u30de\u30eb\u306a\u8b70\u8ad6\u3067\u306f\u3001\u5de6\u8fba\u304b\u3089\u53f3\u8fba\u3078\u306e\u5909\u5f62\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30cb\u30fc\u30e2\u30cb\u30c3\u30af\u304c\u3088\u304f\u4f7f\u308f\u308c\u308b\u3002  x=g(t){displaystyle x=g(t)}\u306e\u4e21\u8fba\u3092\u5fae\u5206dxdt=g\u2032(t){displaystyle {frac {dx}{dt}}=g^{prime }(t)}\u4e21\u8fba\u306bdt{displaystyle dt}\u3092\u639b\u3051\u308bdx=g\u2032(t)dt{displaystyle dx=g^{prime }(t)dt}\u5de6\u8fba\u306e\u5f0f\u306b\u4ee3\u5165\u222bf(x)dx=\u222bf(g(t))g\u2032(t)dt.{displaystyle int f(x),dx=int f(g(t))g'(t),dt.}\u3053\u306e\u5909\u63db\u306f\u5f0f\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u5de6\u8fba\u304b\u3089\u53f3\u8fba\u3078\u3082\u3001\u53f3\u8fba\u304b\u3089\u5de6\u8fba\u3078\u3082\u5909\u63db\u304c\u53ef\u80fd\u3067\u3042\u308b\u3002\u7279\u306b\u524d\u8005\u3092u-\u5909\u63db\u3001\u5f8c\u8005\u3092w-\u5909\u63db\u3068\u547c\u3076\u3053\u3068\u3082\u3042\u308b\u3002\u5b9a\u7a4d\u5206\u306e\u7f6e\u63db\u7a4d\u5206[\u7de8\u96c6]\u222babf(x)dx=\u222bcdf(g(t))g\u2032(t)dt.{displaystyle int _{a}^{b}f(x),dx=int _{c}^{d}f(g(t))g'(t),dt.}\u5b9a\u7a4d\u5206\u3067\u306fx=g(t)\u3068\u7f6e\u63db\u3057\u305f\u5834\u5408\u306b\u304a\u3044\u3066g(a)=c g(b)=d\u3092\u307f\u305f\u3059\u7d44\u307f\u306b\u533a\u9593\u3092\u5909\u66f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u4f8b[\u7de8\u96c6]\u4f8b1[\u7de8\u96c6]\u222b02xcos\u2061(x2+1)dx{displaystyle int _{0}^{2}xcos(x^{2}+1),dx}\u3053\u306e\u5f0f\u306b\u5bfe\u3057\u3066 u =  \u03c6(x) =  x2 + 1, du = 2x dx, x dx = \u00bddu\u307e\u305f\u3001\u4e0b\u9650x = 0\u306fu = 0 2+ 1 = 1\u3067\u7f6e\u304d\u63db\u3048\u3089\u308c\u3001\u4e0a\u9650x = 2\u306fu = 2 2+ 1 = 5\u3067\u7f6e\u304d\u63db\u3048\u3089\u308c\u308b\u306e\u3067\u3001\u222bx=0x=2xcos\u2061(x2+1)dx=12\u222bu=1u=5cos\u2061(u)du=12(sin\u2061(5)\u2212sin\u2061(1)).{displaystyle {begin{aligned}int _{x=0}^{x=2}xcos(x^{2}+1),dx&{}={frac {1}{2}}int _{u=1}^{u=5}cos(u),du\\&{}={frac {1}{2}}(sin(5)-sin(1)).end{aligned}}}\u4f8b2[\u7de8\u96c6]\u222b011\u2212x2dx{displaystyle int _{0}^{1}{sqrt {1-x^{2}}};dx}\u3053\u306e\u4f8b\u306b\u5bfe\u3057\u3066\u306fx = sin(u)\u3068\u7f6e\u63db\u3059\u308b\u3053\u3068\u3067 1\u2212x2=1\u2212sin2\u2061(u)=cos\u2061(u){displaystyle {sqrt {1-x^{2}}}={sqrt {1-sin ^{2}(u)}}=cos(u)}:dxdu=cos\u2061u{displaystyle {dx over du}=cos u}dx=cos\u2061udu{displaystyle {dx}=cos udu}\u222b011\u2212x2dx=\u222b0\u03c021\u2212sin2\u2061(u)cos\u2061(u)du=\u222b0\u03c02cos2\u2061(u)du=(u2+sin\u2061(2u)4)|0\u03c02=\u03c04+0=\u03c04{displaystyle int _{0}^{1}{sqrt {1-x^{2}}};dx=int _{0}^{frac {pi }{2}}{sqrt {1-sin ^{2}(u)}}cos(u);du=int _{0}^{frac {pi }{2}}cos ^{2}(u);du={Bigg (}{{frac {u}{2}}+{frac {sin(2u)}{4}}{Bigg )}{Bigg vert },}_{0}^{frac {pi }{2}}={frac {pi }{4}}+0={frac {pi }{4}}}\u540c\u69d8\u306e\u7b54\u3048\u306f\u4e09\u89d2\u95a2\u6570\u306e\u516c\u5f0f\u3092\u7528\u3044\u305f\u65b9\u6cd5\u3084\u90e8\u5206\u7a4d\u5206\u6cd5\u3092\u7528\u3044\u3066\u3082\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u307e\u305f\u6ce8\u610f\u3059\u3079\u304d\u70b9\u3068\u3057\u30660\u21921\u306e\u7bc4\u56f2\u3067\u7a4d\u5206\u3059\u308b\u3053\u3068\u306f\u5358\u4f4d\u5186\u4e0a\u306e\u9762\u7a4d\u306e4\u5206\u306e1\u3092\u6c42\u3081\u308b\u3053\u3068\u3068\u540c\u7fa9\u3067\u3042\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki26\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki26\/archives\/303443#breadcrumbitem","name":"\u7f6e\u63db\u7a4d\u5206 – Wikipedia"}}]}]