Passing vector when using quad/integral

main function

N=5;
k=[-N:N];
f0=100;
fk=k*f0;
ak=coeff(k,f0) 

at this stage, k is a vector with size of 1*11, it will be passed into coeff function.

sub-functions

function out=coeff(k,f0)
    out=zeros(length(k),1);
    for i=1:length(k)
        out(i)=f0*quad(@(tt)integ(k(i),tt,f0),0,1/f0); 
    end
end 

function out=integ(k,tt,f0)
    xt=aux(tt);
    for i=1:length(k)
        out=xt.*exp(-j*2*pi*f0*k.*tt); 
    end
end

my objective is to not use the for loops in these sub-function. so is it possiable to pass the vector k into integ when using the quad?