How to fill the area below this Beta density, between x=0 and x=0.5.
% fplot(@(x) betapdf(x,a_beta,b_beta),[0 1],'b');

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Madan's comment amplified...
fnF=@(x) betapdf(x,a_beta,b_beta);
figure
fplot(@(x) betapdf(x,a_beta,b_beta),[0 1],'b');
hold on
x=linspace(0,0.5);
area(x,fnF(x))

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