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数学 高校生

(2)です。 この問題を解く時、何を考えたらこの部分積分をしようと思いつきますか? 自分でどうにか無理やりこじつけるとしたら↓ ー------- 右辺がI(m,n-2)だから cos^nX=cosX・cos^(n-1)Xにわけて cos^(n-1)Xの方を微分したらco... 続きを読む

重要 例題 237 定積分と漸化式 (2) 395 ①の m, 次の等式を証明せよ。 ただし, sinx=cosx=1である。 0 を0以上の整数として, Im,n=sin "xcosxdx とする。(笑) (1) ((1)(5) (1) Im,n=In,m (2) Im.n= m+n n-1 Im.n-2 (n≥2) p.390 基本事項 ②, 重要 218,236 指針▷ (1) sin( 2 π π -x=cOS X, COS 2 解答 x= x=sinx [sin と cos が入れ替わる]に注目し, =n-tとおき換えて計算し、後で変数を xに直す。さす (I) (C) (2) sin”xcosx=(sin"xcosx) cos"-1として部分積分法を用いる。 更に, sinm+2xcos"-2x= sin" xcos”-2x-sin" x cos”x から 同形出現。 π (1)x= t とおくと 2 dx=-dt xtの対応は右のようになる。 π x 0 2 i よって Im.n=S 2 sin” xcos” xdx ||2 → 0 7 34 3定積分の置 2 sin”xcosxdx=In,m (5) sin' X .m+1 cosxdx Up (2) n≧2のとき =S's sin" (cos (1)(-1)dt=S Ssinxcosxdx=f(sin" xcosx)cos-xdx= =SC Sinm+1 n-1 x m+1 = fsin" ①,②から Ssinxcosxdx= Sin"+1xcos"-1x X COS' m+1 sinm+1xcosn-1x m+1 n-1 C + m+1. また Ssinm+2xcos"-2xdx=fsin" xcos"-2x(1-cos"x)dx sin" xcos"-2xdx-fsin" xcos" xdx sin x cos"-2x dx -S *sinm+1 x ・(n-1)cos” 2x (-sinx)dx + S sinmaxcosxx. ① (2) + n_1sinm mtn m+n () ゆえに So sin m+1 sin"xcosxdx= sin" n-1 x COS x n-1 C + m m+n m+n Jo So sin xcosxdx したがって n-1 Im,n= -Im,n-2 m+n

解決済み 回答数: 1
英語 高校生

この英文の文法を教えて欲しいです。 (関係代名詞、不定詞など) 英語が苦手なのでどのような使い方をするのかなど教えてもらえるとありがたいです。

onference ánf(a)rans] im [éim] articipant artisǝpǝnt] sappointment isapintment] opose [prǝpouz] allenging elindsin] me to do mto do on one's appointment ... at all stantial stanf(ǝ)!] road [réilroud] instream instri:m] t is how ... e hope that... an impact on 3 In How did they come to publish their own paper? 2002, there was a study conference held by CHETNA an NGO that aims to help the children in slums. Among the participants, there were some children from a slum in South Delhi. They were shocked to learn that adults had no idea about what really goes on in a slum! To their disappointment, the children also learned that the media did not cover the issue at all! So they decided to join a project proposed by CHETNA. It was a G1 challenging plan to start a newspaper to let people know about the terrible conditions of kids living in the slums. G1 That is how Balaknama started. The children chose this name in the hope that their paper would serve as "the voice of children." In fact, their articles have sometimes had a substantial impact on society. In 15 2015, a shocking article appeared in Balaknama. It was about slum kids forced by police officers to remove bodies after railroad accidents. The mainstream media reported on the article and the government finally acted and stopped the police. 20 nsion Check id the children learn at a study conference held by CHETNA? roject did CHETNA propose? d the children name the newspaper Balaknama?

回答募集中 回答数: 0
英語 高校生

この英文の文法やtheyやitが何を表しているかなど詳しく教えて欲しいです。

onference ánf(a)rans] im [éim] articipant artisǝpǝnt] sappointment isapintment] opose [prǝpouz] allenging elindsin] me to do mto do on one's appointment ... at all stantial stanf(ǝ)!] road [réilroud] instream instri:m] t is how ... e hope that... an impact on 3 In How did they come to publish their own paper? 2002, there was a study conference held by CHETNA an NGO that aims to help the children in slums. Among the participants, there were some children from a slum in South Delhi. They were shocked to learn that adults had no idea about what really goes on in a slum! To their disappointment, the children also learned that the media did not cover the issue at all! So they decided to join a project proposed by CHETNA. It was a G1 challenging plan to start a newspaper to let people know about the terrible conditions of kids living in the slums. G1 That is how Balaknama started. The children chose this name in the hope that their paper would serve as "the voice of children." In fact, their articles have sometimes had a substantial impact on society. In 15 2015, a shocking article appeared in Balaknama. It was about slum kids forced by police officers to remove bodies after railroad accidents. The mainstream media reported on the article and the government finally acted and stopped the police. 20 nsion Check id the children learn at a study conference held by CHETNA? roject did CHETNA propose? d the children name the newspaper Balaknama?

未解決 回答数: 1