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FJ (_r) a 'factory (z), by the Lagrange mean value theorem, in (6) there is at least a little,ugg boots billig, so F (6) a F () a F () (6 a), that lf (x) dx-l plant 【}) (6 d) J Proposition 3: If the function l Factory () in (Ⅱ, 6) in a row, in, c] on bounded product,stivali ugg, where c is (Ⅱ, 6) in any point, then lim, (z) and a ∞. ,, Generalized integral r 'factory () d converge, then, 6] there is at least a little, so f' factory) d a 'factory () (6.) Proof: Let F () a l】 l, ( f) a ∈, 6) and define F (6) a f 'plant (f) out, then there is obviously a J \· J to F () in [\6) - F (a) a F () (b -), that lf (z) d a l Factory () (6 Ⅱ) J Proposition 4: If the function 'factory () in (n, 6) continuously, in, 6] on bounded product, where c is (\In, 6) there is at least a little, so l / () dJ 'a l Factory t}) (6 A Ⅱ) J and the proof of Proposition 3 is similar to omitted proof so Proposition 5: If the function l Factory () in 【 ],['Factory () (i Ⅱ) J 【continued on page 60) 60 of Hebei Engineering College 2 2001, 8 cases the conclusion above Translation for English learners are often the error occurs. These errors are due to not understand English idioms commonly caused. Of course there are many other cases, not list them here. In short, only a firm grasp of English idiom, to make our translations to \\Keywords: usage; English-toChinesetranslation; errors ~ anaIysis (Editor: Wang Zheng) (Continued from page 50) Proof: take a sample of c of a aqb ∈ (d, 6j, then, (z) d-, (z) dj + ( ) dz, 对,) dz and,ugg stivali,, (r) d, respectively, application of Proposition 4 and Proposition 3,ugg prezzo, there exists. ∈ (dc), ∈ (c, 6) so I ',ugg milano,) dr a ,(。)( c a Ⅱ) a ,()-。 dIf (x) dr a, () c6 a f) a, () to lf (x) dx a temple ,()+,()]( 6 a) Note,,) in the [gross] is continuous, by the medium value theorem, there exists some ∈ [. ,] Such that, () a [,()+,()] so I, (r) dx I, () (6) References [1] Liu Yu Lian notes study guide book of mathematical analysis [M]. Beijing: Higher Education Press Du. 1987. [2] Yuan Xi Lu. And so on. Theories and Methods of Higher Mathematics [M]. Tianjin: Tianjin University Press Du. 1987 [3] B. N Smirnov. Course of Higher Mathematics [M]. Beijing: People's Education Press, 1979. (Editor: Liu Songyun)

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