# definition of functions and points. To be taken randomly.
# Format:
# line 1 = computing formula
# line 2 = presentation formula
# line 3 = computing interval
# line 4 = presenting interval
# line 5 = left bound of integral
# line 6 = right bound of integral
# line 7 = min-or-max
# line 8 = list for a1 ( x coordinate of p )
# line 9 = list for a2 ( y coordinate of p )
# line10 = list for a3,...

# other possible functions:
# cos(sin(x)), exp(x^2), exp(sin(x)), exp(x)/x

:$a1*cos($$x^2/$a2)$a3
 $a1\cos(t^2/$a2)$a3
 sqrt(4*$a2), sqrt(6*$a2)
 $a6, rint(sqrt(6*$a2+$a5))
 $a4
 $$$$x
 С
 4,5,7
 8,9,11,12
 -2,+1,-3,-1
 -5,-2,0,1,3,4,7
 -1,0,1,2,3
 -1,0,1,1.3,1.6,2,3,4
:sqrt($$x^4+$a1)-$a2
 \sqrt{t^4+$a1}-$a2
 -5,0
 $a3, $a4
 $$$$x
 $a5
 С
 1,1.5,2,2.5,3
 2,3,4,5,6,2.5,4.5
 -3,-4,-5,-6,-7,-8
 2.7,2.8,3,3.1,3.3,3.5,3.9,4.2
 -2,-1,0,1,2
:$a1*exp(-$$x^2)-$a2
 $(a1)\exp\left(-t^2\right)-$a2
 0,5
 $a3,$a4
 $a5
 $$$$x
 
 10,11,12,13
 2,3,4,5,6,7,8,9
 -2,-3,-4,-5,-6,-7
 2,3,4,5,6,7
 -7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7

