Тема 1_неопределенные интегралы

1.

x 4

arcsinx

dx

1 x2

5.

x 3

dx

2

3

6.

(2x 5)e3xdx

7.

x3

2

23

dx

(x 5)

10.

1

dx

x 4 x2

11.

ctg6x dx

12.

cosx

dx

sin3 x cos3 x

3.

4x 3

dx

x2 5

4.

1

dx

2

8

5.

x 2

dx

x2

5

7.

4x4

2

3

dx

10.

1

dx

x4 x2 1

11.

1

dx

cos4 xsin2 x

1.

1

2.

dx

(1 x)

x

4.

1

dx

4x2

2

5.

x 2

dx

x2

7

2x4

5x2 8x 8

7.

dx

9.

x

dx

x 3

x2

(x2

9)3

11.

1

dx

sin3x cosx

12.

1.

2x 3

2.

dx

x2

8

3.

3 arctg2x

dx

1 4x2

4.

1

dx

2

3

5.

5x 2

dx

x2

10

6.

7.

3x3 x2

12x 2

dx

9.

x2 1 x dx

10.

1

dx

x3 x2 1

11.

sin4x cos5x dx

12.

1

dx

5 4sin x