I want to numerically compute a nested integral

I want to compute the following integral (shown in the attached figure "Picture2")... I have tried few methods, but since I am new in matlab, I dont know the right way to do it.

c= 3.575;
  lb = 3;
  ln = 26;
  g1 = gamma(c+1);
  g2 = gamma(c);
  x= ln/(lb+ln);
  q = (lb^c)/((g2)*(lb+ln)^c);
  N = (q*x*g2)/(1-x)^(c+1);
  a = 4;
  ep = 1;
  z = 100;

    p=1;

integral(@(w) f(w).*power(integral(@(r) f(r)/const,0,z),N).*exp(integral(@(x)  f(x).*(1-power(integral(@(y) f(y)/(1+p.*w.*(power(y,ep*a)).*(power(x,-1*a))),0,z),N)),0,inf)),0,inf)

I would appreciate if someone can guide me to the right way.

thank you

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