第四章高等數學試題及答案-資料下載頁
2025-01-09 08:56本頁面
【正文】 設函數 )(xf 的一個原函數為 xxtan , 求 ? ? dxxfx )( 解 ? ? dxxfx )( = Cx xx xxdxxfxxfxx df ???????????? ?? t a nt a n)()()( .tan2se c 2 Cx xx ??? 班級 姓名 學號 8 七、計算下列不定積分 : 1. ? ??? ? dxxx x 103 322 .103ln103 )103( 222 Cxxxx xxd ?????? ??? 2. ? ?? dxxx 33 ? ???? dxxxx )32793( 2 .3ln2792331 23 Cxxxx ?????? 3. ? ?? dxxx )1( 12 ? ?????? .)1l n(21ln)1 2211( 22 Cxxdxxxx 4. ???????????? ? dxxxxxxdxxx x )1 11 221111()1)(1( 1 2224 .a rc t a n)1l n(211ln21 22 Cxxxxx ???????? 5. ?? ????????? ?? dxxxxxxdxxx xx )814131(8 2345 .ln81ln41ln32131 23 Cxxxxxx ????????? 6. ????????)2se c1(2c o s)2(2c o s121c o s31222 xxxdxdxdxx ? ???? Cxxxd22t a na r c t a n212t a n22t a n2. 或 ???????? duuuuxudxx 221212312t a nc o s31 令 .2 2tana r c t a n212a r c t a n21)2(122 CxCuduu ?????? ? 班級 姓名 學號 9 7. ??? ???????? Cxxxdxxdxxxdx |2t a n|ln2t a n1)2( t a n)2t a n1(2c o s21c o ss i n1 2. 或 ???????????? duuuuuuxuxxdx2222121112112t a nc o ss i n1令 CxCuduu ???????? ? |12t a n|ln|1|ln11. 8.???3 11 xdx ?? ?????? ?? dtttdtt ttx )111(313213 cxxxcttt ????????????? )11l n(3)1(3)1(231ln3323 331322 9. dxxx? ?? ?? 11 11 ?? ???????? ?? dtttt dttttx )1442(2111 cxxxcttt ???????????? )11l n(4141ln442 10. ??????? dxxxdxxx 21111 ?? ????? 222 1)1(211 1 xxddxx cxx ???? 21a rc s in
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