四角で囲った部分がよく分からないので教えてほしいです！

(1) 15xs/it と異なる結果 tan 6 18 0= To ないからで､この 応は誤りである。 x = atandについ (1) ri すると 分解する。 FA として分する 基本例題 231 偶関数,奇関数の定積分 次の定積分を求めよ。 (1) ではaは定数とする。 (1) ²√a²+x² 解答 (1) f(x)=√a²+x² x³ √²+x² f(-x) == よって, -dx 指針 定積分の計算は、偶関数・奇関数に分けて考える。① Sof(x)dx=2Sf(x)dx 関数 f(x)=f(x) (y軸対称) 奇関数 f(-x)=-f(x) (原点対称) S° f(x)dx=0 CHART S゜の扱い 偶関数は 2 , 奇関数は 0 したがって ここで よって とすると (-x)³ √a²+(-x)² 5²₁ S -a 関数であるから ARCH X(2) S(2sinx+cosx)dx エー J √a²+x² x3 ²√√a²+x² (2) (2sinx+cosx) |— qua =8sin3x+12sinxcosx+6sinxcosx+cos3x -dx=0 -= -f(x) sinx は奇関数 COS x は偶関数であるから, sin x は奇数 sin' x cos x は偶関数 sin x cos' x は奇関数 COS' x は偶関数。 π (与式)=2(12sin'xcosx+cosx)dx 12sin'xcosx+cosx=(12sin²x+cos'x) cosx =(12sinx+1−sin’x)cosx =(11 sin²x+1) cos x (与式)=2 (11sin x+1)(sinx)'dx -sin®x+sing] =211/2 sin = 28 3 nias 2 p.380 基本事項 ② 練習 次の定積分を求めよ。 (2) では qは定数とする。 ②231 (1) S(2sint+3cost)'dt (3) S (cosx+ x sinx)dx ←計算不要。 +³ (a>0) ya O 積分区間 が半分。 kin SCORD (2) S²₂x√√a²-x² dx a 被積分関数が奇関数である ことがわかれば, 積分を計 算する必要はない。 x 奇数×奇関数=偶関数 奇関数×偶関数 = 奇関数 偶関数×偶関数=偶関数 公式を用いて次数を下げて もよいが,この問題では f(■)の発見の方針で 進めた方が早い。 20 sinx=uとおくと cosxdx = du 左の定積分 は25%(11²+1)du 35 7章 4定積分の置換積分法・部分積分法 34

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) None of us knew ( 1 which =) Stratford-upon-Avon is the town (₁) Shakespeare was born. 1 which where 3 in that 4 when 3) I will never forget the holidays ( 1 when where ) she remained silent then. why when ➡) ( _________) I've wanted is not money but love. 1 Who ② That 6) I bought a new book yesterday, ( (2) which 1 that 7) The subject in ( 1 which 5) ( ) you may say, I won't change my mind. 1 Whoever 2 Whomever (3) Whatever (8) This is ( 1 which 2 ) I stayed with her. why 3 Whose (9) We stayed in an old house, ( 1 which who 4 whom (10) Who was the person to ( who 2) whom ) we came to understand each other. (2) who (3) for which 4 which What (4) Wherever ) I found very interesting. what (3) 4 ) I was interested in my school days is mathematics. that where who when how ) roof was covered with snow. (③3) whose ) you were speaking yesterday? (3) that (4) whom (4) whose

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(1) None of us knew ( which 1 2 (2) Stratford-upon-Avon is the town (₁) Shakespeare was born. 1 which 2 where 3 in that 4 when (3) I will never forget the holidays ( 1 when where (5)( ) she remained silent then. why 1 Whoever (4) (…) I've wanted is not money but love. 2 That 1 Who (7) The subject in ( 1 which (6) I bought a new book yesterday, ( 1 that 2 which (8) This is ( 1 which ) you may say, I won't change my mind. (2) Whomever (2) 3 when Bidan 4 whom ) I stayed with her. adal 3 why (9) We stayed in an old house, ( 1 which 2 who (10) Who was the person to ( 1 who whom Mid 3 Whosem 4 What ali gan4 which 3 Whatevers 4 Wherever ) I found very interesting. (3) what ) I was interested in my school days is mathematics that where 4 when (3) ) we came to understand each other. 2 who (3 for which 4 who M (8) 4 how 01 las of ) roof was covered with snow. (3) whose whom ) you were speaking yesterday? 3 that whose

文章を読み200字以内の日本語で要約して欲しいです

Ⅰ 以下の英語の文章を200字以内の日本語で要約しなさい。 ad a We often forget that an important part of "scientific" knowledge was built on the study of alchemy and other magical practices Alchemists were interested in changing certain metals into more valuable ones For example they tried to change lead into gold, However, they also wanted to produce medicines (that would allow people to live forever or cure any disease. The philosopher's stone is known to us today from the Harry Potter series of To novels and movies This magical stone was believed to have enormous powers and make you capable of doing and knowing pretty much everything. 可能にする *John Dee was an alchemist (who was particularly interested in the problem <of foretelling the future from the positions of the stars and other planets He was also an expert in ordinary mathematics and navigation, One of his most * ふつう fell important projects involyed, research (on a universal language (for 巻き込む communicating with angels!Dee was extremely successful He made a lot of money/had (extremely high status (in universities and government, and owned one of the best libraries in Europe/much of it dedicated to magic. 捧げる However towards the end of the sixteenth century/ideas about magic were changing. Many Christians in England were unhappy(that people were still キリスト教入 communicating with the spirit world which was one of the goals of sixteenth century magicians, As you know Japanese people welcome the spirits of ancestors into the house during the Bon festival European Christians were not happy (about that kind of thing, and they complained (about similar European festivals like Halloween) At the same time, many Christians were afraid that alchemists might be trying to steal God's power. As a result, there was a powerful movement to shut down magic once and for all. 禁止する ALE V n You may be familiar with the Japanese manga and anime series *Fullmetal 45% a Alchemist./The story takes place (in a fictional world in which alchemy continues to function as a normal part of scientific knowledge For example> the heroes (of the series are searching for the philosopher's stone,/and alchemists carry out important work(on behalf of the government/If our 利益 modern world had developed (in the same way as the world of Fullmetal Alchemist people like John Dee would probably have continued to do well. In fact, he lost his jobs and money and died in poverty. 1

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基本 日本 本 (1) None of us knew ( 1 which 2 (2) Stratford-upon-Avon is the town ( where which ) she remained silent then. why when 2 (3) I will never forget the holidays ( ) I stayed with her. 1 when 2 where 3 why (4) (4) ( ) I've wanted is not money but love. 1 Who 2 That (6) I bought a new book yesterday, ( 1 that which ) Shakespeare was born. in that 4 when (5) ( ) you may say, I won't change my mind. 1 Whoever 2 Whomever (7) The subject in ( 1 which den 2 that 3 Whose (9) We stayed in an old house, ( 1 which (2) who 4) whom (8) This is () we came to understand each other. 1 which 2 who 3 for which which What (3) Whatever 4 Wherever ) I was interested in my school days is mathematics. (3) where 4 when ) I found very interesting. (3) what 4 who how ) roof was covered with snow. whose (3) (4) whom (10) Who was the person to ( ) you were speaking yesterday? (3) that (4) 1 who (2) whom whose

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基本 基本 標準 標準 標準 標準 標準 標準 標準 標準 8 正解数をチェックしょう。 BA 1 次の(1) 10の空欄に入れるのに最も適当なものを,下の①~④のうちから1つずつ漬 (1) We are all looking ( (1) forward (2) She ( (1) called off (4) Can you (1) let (3) The game was canceled ( ) heavy rain. (1) in spite of (2 instead of ) to seeing you next month. backward up ) her uncle at his office. 2 (5) It was very cold yesterday; in ( (1) case (2) trouble (9)( (8) I want to keep a pet, ( (1) in instance (1) To (3) called from on ) yourself understood in Chinese ? (2) have (3) make called on 3 because of ), a dog. to instance (10) I would often go to France ( at (6) If you send a letter to a friend in America, you had better send it ( 1 by air mail (2) in air mail (3) on air mail (3) ) usual he was late for the class. (2) As (3) ), the pond froze over. return (7) You should study mathematics () for an hour every day. (1) at best (2) at last (3) at latest (4) for instance In (4) ) business. (3 4 (4) to called around (4) down in front of (④4) fact (4) allow ). (4) with air mail at least at instance At of

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基本 標準 標準 標準 (1) We are all looking ( 1 forward (2) The game was canceled ( 1 in spite of (3) Can you ( 1 let (2) backward (8) ( to seeing you next month. ③3③ up (2 instead of (4) It was very cold yesterday; in ( 1 case (2) trouble 1 To yourself understood in Chinese ? (2 have (3) make (6) You should study mathematics ( 1 at best at last (7) I want to keep a pet, ( 1 in instance ) heavy rain. ③3③ 2 to instance (9) I would often go to France ( 1 on 2 at 10) He is good at French, ( 1to say anything of ③3③ to say nothing of because of (5) If you send a letter to a friend in America, you had better send it ( by air mail (2) in air mail (3 on air mail ), a dog. ) usual he was late for the class. 2 As ), the pond froze over. 3 return 3 for instance (4) down ③3〕 In (4) ) business. 3 to (4) ) English. 2 4 in front of ) for an hour every day. (3) at latest (4) allow (4) fact ). (4) with air mai (4) at least at instanc At 4 of to say everything of to say something of

赤線部で、私は彼ら自身の意見が強すぎると訳したのですが、解答は自分のことをあまりに素晴らしいと思っている人たち　と訳しています。 なぜ模範解答のように訳せるのか、解説お願いします🙇🏻‍♀️

5 funny S he does not listen to her. Fred thought he was a very clever man, and he was しばしば particularly proud of his skill in mathematics, but as often happens with people who have perhaps too high (a)= an opinion of themselves, he was impatient, and seldom listened to what others were あい saying. He was particularly bad about listening to his wife, and she often complained bitterly about this.

TOEICの練習問題です 優しい方解説してほしいです 丸は気にしないでください笑

3 4 2 TOEIC Reading Part 5 Practice (2) 1 The shelves must be stocked space. (A) careful (B) carefully (C) care (D) careless The Wednesday meeting of the LTR Board is to be held on February 3 at the Telvis Conference Hall next week. (A) regularize (B) regularity (C) regular (D) regularly Knowing how to be properly prepared for an interview helps job applicants be in their job search and future career. (A) success (B) successful (C) successfully (D) succeed in order not to waste any Senior Manager Jason Macdonald hour early. (A) habits (B) habitat (C) habitual (D) habitually reports to work half an

高校　英語 私は3だと思ったのですが、合っているか確認したいです！ 間違っていたら指摘お願いします！

No. 60 「私は数学が好きです。 英語はなおさら好きです。」 を英訳した次の文の 語について、正しいのはどれか。 I like mathematics, ( .1 more 2 much 3 much more 4 much less 5 more than ) English. N