# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'ibeta.1.png'
set key outside right top vertical Right noreverse enhanced autotitle nobox
set style data lines
set title "Incomplete beta integral          {Γ(a+b)/(Γ(a)Γ(b))} {/*2 ∫@_{/*0.5 0}^{/*.5 x}} {/:Italic t^{a-1}(1-t)^{b-1}dt}\n" 
set title  offset character 0, -1, 0 font "" textcolor lt -1 norotate
set xlabel "x" 
set xrange [ 0.00000 : 1.00000 ] noreverse nowriteback
set x2range [ * : * ] noreverse writeback
set ylabel "ibeta(a,b, x)" 
set yrange [ 0.00000 : 1.00000 ] noreverse nowriteback
set y2range [ * : * ] noreverse writeback
set zrange [ * : * ] noreverse writeback
set cbrange [ * : * ] noreverse writeback
set rrange [ * : * ] noreverse writeback
set colorbox vertical origin screen 0.9, 0.2 size screen 0.05, 0.6 front  noinvert bdefault
NO_ANIMATION = 1
save_encoding = "utf8"
plot ibeta(9,1,x) lw 2 title "a=9 b=1", ibeta(7,2,x) lw 2 title "a=7 b=2",     ibeta(5,5,x) lw 2 title "a=5 b=5", ibeta(2,7,x) lw 2 title "a=2 b=7",     ibeta(1,9,x) lw 2 lt 6 title "a=1 b=9"