# 高数（上）B-08A - 2007-2008 1 BA 3 15 1 a a lim(1 x 4...

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1. 7 分）求极限 2 0 2 0 lim ln(1 2 ) cos x t x x e dt x x x 2. 7 分）设 2 1 ( 1), 0 ( ) sin , 0 x e x f x x a bx x ，试确定 , a b 的值，使 ( ) f x 处处可导， 并求 ( ) f x 3. 7 分）设 1 sin sin cos t u x du u y t t t ，求 dy dx 2 2 d y dx 4. 7 分）求不定积分 2 2 3 1 ( ) 1 9 dx x x x 四、（本大题共 22 分） 1. 8 分）求定积分 6 4 0 (1) sin 2 xdx 2 0
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