MATLAB: Fill below function fplot

fplotgraphmatlab function

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');

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))

Hello ZC,

They are equivalent. In Matlab

cdf =               e^z / (1+e^z)            % the missing one
pdf = (1/(sigma*x))*e^z / (1+e^z)^2
where
z = (log(x)-mu)/sigma

When you make the substitution (as mentioned in wikipedia, where they use s in place of sigma)

beta = 1/sigma        e^mu = alpha
then
e^z = (x/alpha)^beta

and for wiki,

cdf =              (x/alpha)^beta)   /(1+(x/alpha)^beta) 
pdf = (beta/alpha)*(x/alpha)^(beta-1)/(1+(x/alpha)^beta)^2

fplot(@(x) x^2 + 3*x +3,[0, 10])