Integration einfacher Funktionen; Grundformeln. 201

«> / a x d x = -=—; j e x d x = e x .

4. / cos x d x = sin x.

5. y sin x d x = — cos x.

6 '/—4-=tRX.

7.

COS X

dx

sin xsinxcos" x

/■ sinx ,

/------dx =

Ctg X.

1

COS X

(= sec x).

9. /"_ cos:

-dx =

____ sin" x ^^^

10. /"sinx cosxdx =

sin xsin 2 x

(-■= — cosec x).

I'

11. I tg x d x = — l cos x

12. j ctg xdx = / sin x.

t dx

i3. r^

sin x cos x

f dx x

6 ' J sirnt D 9,

r d X / 7t . X

14. /-----=Ztg T + T

15 - / FT

dx

: arc sin x = — arc cos x -\-

-I Va*

dx

1 . bx

: -=- arc sin —

b a

J/a* — b" x a ^^^^^^^^^^

,- d x 7t

IG. J yjT —ä = arc tg x = — arc ctg x + --■