Неопределенный интеграл. Варианты заданий для практических занятий. Сирота Ю.Н. - 39 стр.

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ȼɚɪɢɚɧɬ ʋ 60
,1)  4 x 5()sin 3 x 3()cos 5 x
,2) e
()6
x
() 14xx
2
,,,3) 4( )ln ( )arcsin 2
x
4)  ()ln 
x
23( )ln 
x
6()ln 
x
2
,5)  2( )ln  x
2
8 x 17 20 ( )arctg x 4()ln 1 x
,6)  x
2
10 xx 5 x
2
10 x 25 ( )ln  x 5 x
2
10 x
,7) 5( )ln  x 2
 x
2
4 x 5( )  2 x
2
x 5  x
2
4 x 5
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ȼɚɪɢɚɧɬ ʋ 61
,1)  8 x 4()ln x 5()arcsin 5 x
,2)   
1
36
() 60 x
3
126 x
2
252 x ()ln 3 x
5 x
3
9
7 x
2
4
7 x
,,,3) 8( )ln ( )arccos 7 x4)  4( )ln x 3
5
1 x
4( )ln 1 x
,5)  6( )ln  10 2 xx
2
12
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arctg 
x
3
1
3
()ln 12x
,6)  
 82xx
2
 82xx
2
x 9
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arcsin 
x
3
1
3
,7) ()  2 x
2
5 x 2 x
2
2 x 2()arcsin 1 x
,8) 2
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ȼɚɪɢɚɧɬ ʋ 62
,1)  2e
()2
x
()cos 5 x 2 x
,2)   
1
8
()ln 116x
2
1
32
()32 x 48 x
2
()arcctg 4 x
3
x
8
3
32
()arctg 4 x
,,,3) 8e
()cos 4
x
4)  3( )ln 3 x 3( )ln x 3()ln x 5
,5) 3( )ln x 38( )ln  x
2
2 x 5
,6)  3
6 xx
2
6 xx
2
x 9( )ln  x 3 6 xx
2
,7) 4( )ln  x 5  x
2
10 x 26 ( )  2 x
2
4 x 5  x
2
10 x 26
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