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英語 高校生

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21. A Why don't we finish it next week? bral binon I soul odi at inom II: A SS B Do you think there's enough time? A Bill can help us then. B( ) 1 It's his sister's. Jol som glad bluow if abum on y gribbbl noy 2 They didn't say. 3 Sounds good to me. in 22. (At a department store) A Good morning. May I help you? ),40:8 anols woy 9780 4 Takes one to know one.mem doy ob) fellos 10m emos juoda woH: 9liM .8S xBab B: Yes. I'm looking for a Father's Day present. A Have you thought about a nice tie? B: ( 1 Hmmm... That sounds good. 3 I'm not in the mood. ): σmT qiellore. So lloria: A .es ②I beg your pardon! lo sin 4 All right. No problem. 23. A: There you are! I was beginning to worry. Is everything OK? won 〈阪南大〉 918 9W A .08 B I am sorry. The traffic was really bad. Did we miss the beginning of the movie? A: I think it has been playing for a few minutes. We could still go in, but I heard that something important happens at the very beginning.ino trods woH (1) GLB: Oh, ( ). Why don't we wait for the next show? We could kill time in a coffee shop. 2 that's too bad ①let's go in now tzen god 3 I shouldn't have 4 you can come earlier 24. Kazu: Hi Kenji, what's wrong with you? You look like you're in pain. 38. Kenji : Yeah, I hurt my left foot during a soccer game yesterday. Pa) Kazu: ( ) Do you need any help? d gui Kenji Oh, I'm fine. But thank you for asking. ☐ 〈日本大〉 sh loadA ① lyldiean (①I'm sorry to hear that. 09. 3 Why not? 25. (On the street) el 2 Never mind. 4 You're welcome. .nialquoo ---- ): 58 < 鶴見大〉 aniq m 992 Boy bely mydis A: Hi. Could you point me in the direction of the nearest bus stop? 10: dis B It's over there. It's a bit of a walk. 910 99gaib tablo ID EU) A: Do you happen to know which bus goes to Asahiyama Zoo? J'nbinow 1 B 1 Let me know. 3 You are welcome. I'll walk you there and we can check it out. me way saw woll: A C☐ 2 Why don't you ask them? 4 No idea. ): & to M 〈北海道工業大〉 Tog Hoy bib W 26. A Do you know where and when movable type was invented? B( ) Telling! ①I don't have even a guess. 41. lil a'i jodw cobi on svad I 2 I don't have a good memory of that. * 3 I don't have the correct answer. 362 21 no absqa 4 I don't have the slightest idea. <早稲田大〉

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数学 高校生

(1)なのですが、この時赤線の置き換えからのdx/dtを求める際、不定積分だとdx/dtを分数のように扱っていたのですが、このような場合はdx/dtをどのように扱えばいいのでしょうか。

7 本 例題 128 定積分の置換積分法 (1) (丸ごと置換) 次の定積分を求めよ。 0000 209 (1) Sx√1-x² dx (2) S C2 x-1 1x2-2x+2dx (3) Sol0gx. -dx x p.208 基本事項 CHART & SOLUTION 定積分の置換積分法 ①式の一部をとおき, dt dx おき換えたまま計算 積分区間の対応に注意 を求める (または dx = dt の形に書き表す)。 ② xの積分区間に対応したもの積分区間を求める。 ③与式の定積分で表し, tのままで計算する。 S (2) Art (g(x) 0205 -dx=log|g(x)+C を用いて計算してもよい。 解答 どういう変形 1-x=t とおくと, 1-x2=12 から x 0 → 1 -2xdx=2tdt よってxdx=-tdt t 1 → 0 xtの対応は右のようになる。 *30*2020 ← 1-x=t とおいても計 算できるが, 丸ごとおき 換える方がスムーズ。 ↑代順に対応するようにかく ゆえに fx-xx=(-1)dt=Siedt=1531-1/23ff(x)dx=-ff(x)dx (2)x²-2x+2=t とおくと 2(x-1)dx=dt よって(x-1)dx=1/12at 1→2 別解 (2) (与式) - 1 S² (x² -2x+2)' 21 x²-2x+2 -dx =1/2log(x²-2x+2) =1/10g2 x との対応は右のようになる。 t 1 → 2 x-1 2 1 ゆえに 1x2-2x+2 -dx = S₁² = = = = = dt == log 2 =1/12 (10g2-log1)=1/23log2 - 5章 15 定積分の置換積分ミ (3)logx=t とおくとx=dt x 1→e inf. 定積分の置換積分は 不定積分とは異なり,変数 t 0 → 1 を元に戻す必要はない。 x xtの対応は右のようになる。 logx よって10gxt=17/1/ PRACTICE 128 次の定積分を求めよ。 (1) X dx (2) S's herdx (p.211 ズーム UP 参照) [横浜国大] (3) √2-x2 So sin2x 3+cos²x -dx [ 青山学院大 ] (4) Sisin's cos'xdx [ 青山学院大 ]

解決済み 回答数: 1