Лекции / табл интеграл

Таблица интегралов

1)

dx = x + c

x

n+1

2)

x

n

dx =

+ c; n = const −1, n 0

n

+1

a

x

3)

a

x

dx =

+ c; a = const 0, a 1

ln a

6)

dx

=

1

ln

x

− a

+ c;

a = const 0

x

2

− a

2

2a

x

+ a

7)

dx

=

1

arctg

x

+ c;

a = const 0

x

2

+ a

2

a

a

8)

dx

= arcsin

x

+ c;

a = const 0

a

2

− x

2

a

9)

dx

= ln x +

x

2

a

+ c;

a = const 0

x

2

a

12)

dx

= tgx + c

2

cos

x

13)

dx

= −ctgx + c

2

sin

x