define a function in terms of an integral with variable limits

I have defined a function of two variables, say f(u,t), and would like to define a function g(t)=@(t)integral(f(u,t),u,[t-1,t]). How would I do this?

Answer 1

[Torsten]

f1=@(t)3+2*cos(2*pi*t);
f2=@(t)4-3*sin(2*pi*t);
ff=@(t)-f1(t)-f2(t);
gg=@(u,t)integral(ff,u,t);
ww = @(u,t)f1(t).*exp(gg(u,t));
www=@(t)integral(@(u)ww(u,t),t-1,t,'ArrayValued',1);
www(2)

ans = 0.5163

[Barbara Margolius]

Awesome, thanks!