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英語 高校生

下から15行目のthrow whichのthrow とはなんですか?

y II Day 12 15 5 Negro Leagues Baseball was a collection of major and minor-league baseball leagues that were the first to showcase black team sports on intertwined with the African American and American experience not only a national scale. Launched in 1895, the leagues, as with jazz, became as a cultural element, but as a lucrative business endeavor. team The leagues were not under central management, and schedules and composition League, were changeable from season to season. Appearance and disappearance of leagues was common: the National Colored Baseball for instance, collapsed after only two weeks of operations. Latins, especially Cubans, were also a significant presence on teams. In these ways, the Negro Leagues were quite similar to their white counterparts which would eventually consolidate into Major League Baseball. Blacks near the beginning of the 20th century had only a fraction of whites' purchasing power, so the emergence of the Negro Leagues might have seemed unlikely. However, the Negro Leagues had two main draws that accounted for its business success. The first was a deep reserve of athletic talent. After blacks were formally excluded from white leagues in the 1880s, the Negro Leagues were the sole organization through which black players could work professionally. The quality of Negro Leagues 20 players was high, and substantiated through exhibition matches between Negro Leagues and Major League teams: over the years, both had their fair share of wins and losses in these matches. Another reason for the success of the Negro Leagues was an increasingly affluent black fan base. Driven by American industrialization, blacks were concentrating in major cities such as New York City, Chicago, and Atlanta. Usually barred by custom-and in the South by law-from attending many white entertainment outlets, blacks turned to Negro Leagues games. As a result of these factors, by the 20th century the Negro Leagues were earning a combined millions of dollars. This profitability ended with the desegregation of Major League Baseball. Black fans began attending Major League games, starving the Negro Leagues of its core revenue source. By 1951, the Negro Leagues had ended, although a succession of black star athletes in the Major League had begun.

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数学 高校生

これの(2)ってu=sinxって置換したらuの積分範囲が0→0となり、答えが0となってしまいますが、なぜu=sinxと置換できないのでしょうか?

重要 例題 153 置換積分法を利用した定積分の等式の証明(2) ①) 連続な関数f(x)について,等式 Sox (sinx)dx= "" (sinx)dx を示せ。 ogr 0000 (2)(1)の等式を利用して,定積分 " o 3+sin²x nxsinx -dx を求めよ。 [(1) 類 横浜国大] ・基本 148 重要 152 指針 (1) sin(π-x)=sinx であることに着目。 -x=t(x=πート) とおいて,左辺を変形。 →計算を進めると左辺と同じ式が現れるから(同形出現), p.233 重要例題 137 と 同じように処理する。 (2)(1) Cxsinx sinx dx=. -dx である。 23+sin'x 3+sinx=3+ (1-cos'x)=4-cos' x であるから, Cosx=u とおけばよい。 (1)x=-tとおくと dx=-dt x 0 →π との対応は右のようになる。 解答 証明する等式の左辺をIとすると π-> 0 v=Soxf (sinx)dx=S" (t)(sin(x-t))(−1)dt =S"(n-t)f(sint)dt=zSS(sint) dt-Sot(sint)at S-1(x)dx=f(x)dx =xSos(sinx)dx-Soxf(sinx)dx sin(x-t)=sint m =πSof(sinx)dx-1 1=mSof(sinx)dx π よって xsinx 2 Jo (2)ノ=So3sin' x -dx とすると, (1) から sinx π sinx 不 -dx dx=770 4-cos² x 2 Do 3+sin²x COSx=u とおくと sinxdx=du xuの対応は右のようになる。 よって== Sau π -du 定積分の値は積分変数の 文字に無関係。 421=**(sinx)dx t ◄f(t)== は連続な関 数。 3+12 f (cosx) sinx の形。 I-←I u π ←0x =πS' 4— u² du= 4 Sº(2± μ + 2ª¹)du 2+u 偶関数は2倍。 次に、部分分数に分解。 =410g(2+u)-10g(2-1)=¥105 -log3 練習 (1) 連続関数 f(x) が,すべての実数xについてf(x-x)=f(x) を満たすとき, とを証明せよ。

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