goß Egon Eichwald und Andor Fodor. 



/ — = In X + C. 



/ sin X dx = — cos x + C. 



/cosxdxr=sinx + C. 



r dx , „ 



H—r ==cotgx + C. 

 J sm- X 



J COS^ X 



dx 



r dx • ^ 



/ . , = arc sm x + C. 



J|/r^x^ 



r dx , ^ 



j TTT^ = ='■•'= tsx + c. 



/e^dx = e^ + C. 



/a^dx=r^ + C. 

 J In a 



r dx 



r-4^=:ln(a + x)4-C. 

 J a + x 



r-^=— Infa — x) + C. 

 Ja — X ^ 



/• dx 1 , b— X 



/ -j-, -=7- In h 



J(a — xj(b — X) b — a a — x 



r^dx=rlnf(x) + C. 

 J t(x) 



/ , ^ „ — — arctgf— 1 + C. 

 /adx = ax + C. 

 /vdu=:u.v— ludv. 



o 



/e-^'dx=— I a. 



Die Länge einer Kurve ist: L=:/dxl/ 1 + [-t^J = /dyl/ 1 + [-t-J 

 (vgl. S. 887). 



