606 Egon Eichwald und Andor Fodor. 



j sin X dx = — cos x + C. 



/cosxdx = sinx + C. 



Tdx ^ ^ 



J^i^x = ^^^^'" + ^- 



J COS'ä X * 



r dx 



/ ., = arc sin x + C. 



J|/l— x2 . ' 



/e^dx=:e^ + C. 



/a^dx=:r^ + C. 

 J Ina 



r dx 



Jjq7^==arctgx + C. 



/ — '— = ln(a + x) + C. 

 J a + X ^ 



J (a — x)(b — X) b — a a — x 



r^dx = lnf(x) + C. 

 J i(x) 



/ „ ^ „ = — arctgf— 1 + C. 

 /adx = ax + C. 

 /vdu = u.v — /udv. 



o 



Je— Mx=i-|7: 



o 



Die Länge einer Kurve ist: L=: /dxl/ 1 + [^J =/dy|/l + [^] 

 (vgl. S. 387). 



