Материал: 1402

3.

dx

;

dx

;

2x 1

dx;

dx

.

x

2

x2 4x 9

x

6x 5

2 6x 13

16 x2 6x

х 1

x3 x 1

х2 5

xdx

4.

dx;

dx;

dx;

;

x

2

1 x 1

x x

2

1

2

(x

2

1)(x

2

1)

x 3 x 1

1

x

x

1 x2

dx

5.

2

dx;

dx

;

dx;

.

1

1

x

4

x 2

1 x 2

x 80x2 18x 1

cos

3

dx

; sin2x cos4x cos6xdx;

6.

x

sin

3

x dx;

1 4cos 2x 4sin x cosx

x

3

cos x

4

dx ;

1 tgx

arcsinx 2

e3x

1.

dx ;

dx ;

dx ;

cos2 х

1 e3x

1 x2

x2

2

x5

dx

x 6

sinx

x

dx

;

;

dx ;

dx ;

6

cos2 x

x

4 9x2

x2 12x

x 1 x2 dx

;

2x 3 10 3x 2 110

dx.

1 x

4

2.

6x 3 cos3xdx

;

x3 x 2 ln xdx ;

x 3 exdx ; arctgxdx.

3.

х

dx

;

dx

x

dx ;

;

dx .

x2 6x 10

x2 4x 5

x2 2x 2

2x x2

4.

х3 2х 8

dx;

х4 7x3 168

dx

x3 6х2 9

x2 2 x3

dx;

;

dx;

x2 7x 12

x2 x3

x2 6x 7

dx

1

3

x

x2

1

5.

;

dx ;

dx ;

dx .

3

3

1

3

x

1

x

2

x2 1 2

x 10x

6x 1

dx

sin3xcos5xdx.

tg2xdx.

6.

3 sin2 xcos3 xdx;

;

3sin x 4cosx 4

Вариант 18

1.

tg5xdx

e

x

x5dx

3x

5 e

3x

dx ;

1 3x

2

dx ;

;

;

cos2 x

7 4x6

dx

2x 1

1 sin2 x

1

dx

5

x

;

dx ;

dx ;

;

5

cos2 x

x2

1 16x2

x2 x

arcsin x 13

2x5 2

x

dx .

dx ;

1 x

2

x

2. x 1 2 ln x 1 dx; x2

3x sin3xdx; e2x x 3 dx; arccosxdx .

3.

dx

;

x 1

dx;

xdx

;

dx

.

x

2

8x 5

3 x

2

x

8 x2 2x

2x

2 8x 9

4.

х4 5x3 6х2 1

dx;

dx

;

x4 4х3 х2 2

dx;

x2 2 x 4

x2 5x 6

x(x 1)

xdx

.

(x 5)(x

1)

2

x 2

3

2

dx ;

dx

dx

5.

dx ;

x

x

;

.

6

3

x x

2

x 1

x 1

1 x2

2x 2

cos

3

dx

sin

х

x

tg

3

x

sinxdx;

xdx.

6.

;

cos

dx;

1 2соs x

3

4

Вариант 19

x

2x5

dx

x 6

tg5x

exdx

1.

x

dx ;

;

dx ;

dx ;

;

5 6x2

cos2 x

1 ex

x

3 x2

12x

1 arctg

2x

sin 1 3x dx;

x 1 x 2

x 1 dx;

dx;

1+x2