M21 - 7.1.2011

1)Ur�ete limity v krajn�ch bodech def.oboru

sin(pi*x)
---------
 2x^2-2

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2)Vy�et�ete pr�b�h funkce

|x|e^(1/x)

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3)ur�it� integr�l 0 pi

(2x-9)sin3x

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4)neur�it� integr�l

e^(2x)+2e^x+1
-----------
  e^(2x)+1

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5)

x'=-tx/(t+1)

po� p. a) x(0)=1
       b) x(-2)=0
       c) x(-1)=2

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6)
Ur�ete obsah plochy ohrani�en� k�ivkami arcsin a arccos a osou y.