Неопределенный интеграл. Варианты заданий для практических занятий. Сирота Ю.Н. - 32 стр.

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,5)  ()ln  x
2
8 x 17 16 ( )arctg x 4
1
2
()ln x 1
,6)   x
2
6 x 7 x 3  x
2
6 x 716( )ln  x 3  x
2
6 x 7
,7) 3( )ln  x 5
 x
2
10 x 24 ( ) 5 x
2
4 x  x
2
10 x 24
,8)  2
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,9)  2
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,10)  3
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ȼɚɪɢɚɧɬ ʋ 23
,1)  e
()2
x
2()arcsin 2 x 2()cos 3 x
,2)  
()12 x 48 116x
2
64
1
64
()192 x 96 x
2
()arccos 4 x
3
64
()arcsin 4 x
,,,3) 2( )ln ( )arcctg 3 x4)  ()ln x 23( )ln x 5
2
x 5
,5)  8( )ln  x
2
8 x 20 34
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arctg 
x
2
2()ln x 1
,6)  
  16 x
2
10 xx 5   16 x
2
10 x 9
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arcsin 
x
3
5
3
,7) () 14x
2
x  9 x
2
10 x 5
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arcsin 
x
4
5
4
,8)  
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ln 
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,9)  2
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ln 
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,10)  3
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ln 
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32
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arctg 
1
2
1
2
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tg
x
2
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ȼɚɪɢɚɧɬ ʋ 24
,1)  2()sin 5 x 10 x 3()ln x
,2) e
()9
x
()  13x 3 x
2
,,,3) 4 ()arcctg 5 x4)  2( )ln x 3()ln x 63( )ln x 2
,5)  8( )ln  x
2
4 x 88
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arctg 
x
2
12( )ln x 2
,6)   x
2
10 x 21 x 5  x
2
10 x 21 4 ( )ln  x 5  x
2
10 x 21
,7) 5( )ln  x 2
 x
2
4 x 3( )  2 x
2
5 x 2  x
2
4 x 3
,8)  
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,9)  2
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,10)  2
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ln  10 6
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______________________________________________________
ȼɚɪɢɚɧɬ ʋ 25
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