数Ⅲの積分法です。 （2）の問題がわかりません。解説の最初の一行目がしっくりきません。 数学苦手なので得意な方教えていただきたいです。よろしくお願いします🤲

408 第7章 積分法 例題 214 考え方 部分分数に分解してから積分する. (1) x2+4x+3=(x+1)(x+3) より, - 2 練習 部分分数に分解する 次の不定積分を求めよ. 2 (1) Sy² + ₁²x + 3 dx 4x 214 2 x²+4x+3 (2) として, α, bの値を求める. (2) 分解する形に注意しよう. 1 x²(x-1) L 解答 Cは積分定数とする. とおくと, a +6 (x+1)(x+3)¯x+1+x+3=1 / ₂² a b 1 x²(x-1) (1) x2+4x+3=(x+1)(x+3) より, 2 b + x+3 とおくと, + + x² 1 x²(x-1) (x+1)(x+3)x+1 =log したがって C x-1 a b × ² ² + 0 ₁ ) ) — x-1 a x+1 x+3 RETO (d+xo) したがって a=1, b=-1 2 2 *₂²₁ √x² + ²x + 3 dx = S(x + 1} (x + 3) dx よって, S 4x = S(x+1=x+3)dx 10***TOX (2) S x²(x-1) 2= a (x+3)+b(x+1)+(x-1) +C 次の不定積分を求めよ. x-1 (1) -dx x²+3x+2 部分分数に分解 467 BR C x-1 a b = + + x x² 1= ax(x-1)+b(x-1)+cx² a=-1, b=-1, c=1 *₂t, S₁x²(x²-1)dx= √(- =— — — — — — + _ _ —-—-—- ) d x よって,xx-1)=(1/ 1 2 x² x-1 ==+log|¹|+C x-1 +] 08 Sdx=log|x|+C M =log|x+1|-log|x+3+C)log M-log N=log N [(x)+ g(x)] da =xb (d+x)/(x(x) dx + √√(=) dr *l+C xについての恒等式を解く. 1=ax(x-1)+b(x−1) +cx² (a+c)x²+(-a+b)x =−log|x|+=+log|x−1|+C x dx 1 2T___X²Y=X+X²+ = ** EIS b X Y = + 1/2 1 a XY X Y 1 a b Xyz = x + 1/ XYZ X Y a b dr S dx (2) √√x (x + ₁)(x+2) + xについての恒等式を解く. 2= a (x+3)+b(x+1) (a+b)x+(3a+b-2)=0 したがって, a+b=0 3a+b-2-0 これより, α=1,b=-1 -(6+1)=0 dx Leb, a+c=0, -a+b=0, b+1=0 これより, a=-1, b=-1, c=1 |Sdx=log|x|+C dx (3) √x(x + 1)²² p. 411

かっこの並べ替えを教えてください🙇‍♀️

Physical labor ( ) beyond a certain point is very cruel torture, and it has very frequently been carried [life as / make / so far / to / almost unbearable]. In the most advanced parts of the modern world, however, physical fatigue has been

写真に添付した34の誤っている箇所と35.36の並べ替え問題の解答を教えていただきたいです。

34. For the young mother, the thought of leaving her 5-years-old son in her hometown was unbearable. ① REOGL <国士舘大 > ③ 次の日本文の意味になるように,( )内の語または語句を並べかえて適切な英文を作りなさい。 inioq 35. 今日の午後、 私は特に何もすることがない There is (for / do / nothing/to/special/me) this afternoon. 36. 心配しすぎると食欲がなくなることがよくあります。 (often deprives / of / worry / too much / us) our appetite. no asingese1 ( <中京大> ) bluos 19lt tog I a an jom hort art bine nem STA y own 〈駒〉 Jol i bagnails har vi ser whsen Naomie ① Iliaw sy smilest med f'never I CAT 4

途中まで解いたのですが、分からないので、解説お願いします🙇‍♀️

as 4. 肌をさらせばさらすほど、日焼けの危険が増すことをよく考えるべきです。 You should consider that the more skin that is exposed,(the / the / of / higher / sunburn / risk). (福山大) the higher sunbuwn 5. The lower we climbed down the mountains, ( (東海大)

①を本文中の英語2語で答えるとなんですか？

do bad things to them. Actually, according to some scientists, these two We are hungry. From there, the word “hangry” was created to mean "being 5 feelings are closely related. They say we tend to get angry more easily when 「When you are hungry, it means that you haven't eaten food for a long time. ©when you are angry, you may want to shout at someone or 語数 251 Reading テーマ 説明文/人体 次の英文を読み, 右ページの問いに答えなさい。 ト人はなぜ怒るのでしょうか。 Do you know the The two English words “hungry” and “angry"” sound alike. meaning of them? angry because we are hungry." 私たちが食べるもはすがて、特にやの:パク時 Then, what is, happening in our body? Everything we eat is turned in などの様々な栄養まに変援続血管を作して体のあらゃ3点部にに並られます。 various nutrients, including sugars and proteins, and sent to every part of th。 The fact is that our brains use only sugars for 10 body through the blood vessels. 0 their energy.As time passes, the level of sugar in the blood drops. After several hours, our brains run out of the energy they need to function well So, we find it hard to concentrate, or we may make simple mistakes. Even Worse, we may not be able to control our emotions. Certainly, our brains need sugar. 15 But many scientists warn that when we are “hangry," eating too many sweets such as candies or chocolates is not a good idea. After eating them, the level of blood sugar rises quickly, then it falls suddenly. This makes us emotionally unbalanced. The important thing is to keep our blood sugar steady. To achieve that, you need to eat small, well- balanced meals several times a day. 0お腹が空いたとき(は、長い問食べ物をたべていないことを意味します。 ② あ体たが思って(るとき、あなたは誰似にさいけんだり、彼しに思いことをしたいと思らがもしれません。 @ 保は、私たちくは大腹が安いている時。やすいと言う お腹かすいたかいたっているというくけでお腹かすれたをいう言葉かはおんた P pen.e

空欄のところが分かりません！教えてください。

「緑部の発音がほかと異なるものを選び、記号で答えなさい。 1. ア co-worker イ hope ウ phone ウ nutritious ウ below エ poverty I suffering 2. ア funny イ government イ goal 3. ア role I straw 2日本語に合うように ( ) に適切な語を書きなさい。 1. 手を見下ろさずにコンピューターのキーボードを操作できますか。 down at your Can you operate the ( looking computer keyboard ( without) hands? ~14年 2. ピクニックにはサンドイッチやビザのような食べ物を持ってくることができる。 )sandwiches and pizza to the picnic. You can bring food ( Bgmoo ofdt of gatunb

和訳と穴埋め教えてください One of the fields that benefited from the Cook expedition was medicine. At the time, [(1)ships that set sail to distant sh... 続きを読む

4問教えてください 丸ついてるのは気にしないでください

1つ選べ。 5 Before going out in the sun, you always put on sunblock. 5 A mustn't B should C have D try 6 You should not look down on others simply 6 they are not educated. A because B due to C that D though 7 After making careful plans for the evening, we just 7 staying at home. A finally ended on C ended up D played in B 8 Police say the attack was 8 by a group of international terrorists. A taken in B carried in C taken out D, carried out

考え方がわかりません

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Ocean currents carry it to the creaという文は何が動詞ですか？文の構造を教えてください

0 [The growing amount of garbage] is a serious environmental problem. In Tokyo 「増えている」 「東京だけで」 alone/「the total amount of garbage] is about five million tons a year. This is (almost) 「1年につき」 equal to [the weight of one million elephants]. 「…に等しい」 2 A lot of unburnable garbage ends up in [what are called landfills]. Some of 「最後に…に行き着く」 「いわゆる」 5 these landfill sites can be very large. Indeed,/[the attractions of the Odaiba area of 助~でありうる Tokyo]are built/on a large landfill. ③ You may be surprised,/however,/to hear[that| the world's largest “garbage dump" be surprised to do 「~して驚く」 is not on land,/but in the middle of the Pacific Ocean」. The Western Garbage Patch not A but B「AでなくB」 is between Japan and Hawaii,/and the Eastern Garbage Patch is between Hawaii and V1 California. Together/ they are known as the Great Pacific Garbage Patch/and cover be known as 「……として知られている」 an area of 1.4 million square kilometers,which is more than three times as large as 10 「合わせて」 S V2 O 1siijmateu 「平方キロメートル」 「…を超える」 and it Japan. Who dumps garbage <wayXout> in the ocean? Of course,/ no human beings 「はるかに」「彼方に」 in Hobinb throw garbage (there),/but/ocean currents carry it to that area. Surprisingly,/[more than 「…の3倍の大きさ」 =way out in the ocean =the garbage four million tons of garbage] has drifted<there). 現在死了(完了) =to that area 4 The Great Pacific Garbage Patch is (mostly》 made up of pieces of plastic. The I0 boog ed ot mo banicu bns ram be made up of …から成り立っている」 sun's light breaks them into smaller pieces, /but/they never completely disappear. 「…の破片」 break O into. 「○を分解して…にする」 These tiny plastic pieces are poisonous/and marine animals and birds mistake them for food. mistake A for B「AをBと間違える」 6 Midway Island is near the Hawaiian Islands. Every year,/albatrosses raise half 「…を育てる」 a million chicks/on this island. These days,/however,/forty percent of the chicks die/ 100万の半分=50万 because they have eaten plastic which) was (mistakenly》 given to them/ by their 現在完了(完了) plastic parents). 6 While [some of this floating mass of garbage]comes from ships,/eighty percent 圏「~ではあるが」 Comes from land. [Cleaning up the ocean] seems to be a very difficult task,/ bu 動名詞 seems to be C 「Cのように思われる」 Lreducing waste on land]is something ( we can all do). So,/next time you are at e 動名詞 store,/think about [|whether you really need a plastic bag]. That bag might end up I (which) next time S V 「今後~する時は」