OnlyFormuls

П. А. Машаров]

Формулы

11

R

=

ln a +

0

R

Таблица интегралов

+

cos

R

= sin

+

= 1

sin

R

cos

α

xα+1

dx

√

dx

x

x

x

dx =

α+1

+ C, (α =

1).

√

= 2 x + C.

x+a

= ln x + a + C.

e dx = e + C.

x

ax

6 −

x

|

|

R

cos x

sin

x

.

R

√a2

x2

a

R

x dx

√x2+a2

R

a dx

C, a > , a

6

−a2

x dx =

x C.

R

x C.

dx

R

dx

6

√x2

R

ln +

−

x

6

x +a

dx

−

dx

2

= tg x + C.

2

=

−

ctg x + C.

= arcsin

| |

+ C,

a = 0.

=

a

a

x a

−

6

R

2aRln x+−a

√

2

2

dx

√

2 2

dx

ln

x + x

+ a

6

+ C, a = 0.

=

x

x

a

+ C, a = 0.

2

2

=

1

x

R

−

1

x

a

6

arctg

+ C, a = 0.

2

2

=

+ C, a = 0.

12

Геометрия

[П. А. Машаров