How to integrate integral(i​ntegral(co​s(t),-10,t​) ,t1,t2)

How to integrate numerically Z(t1,t2) ? My function is more complicated than cos but is analytical.

 integral(integral(cos(t),-10,t) ,t1,t2) 

F = @(t) cos(t);
A = @(t) -integral(F,-10,t)
Z = @(t1,t2) - integral(A,t1,t2) 
Z(0,1)

Answer 1

[Justin Griffiths]

The intermediate integration is numerical in nature so the operation needs to be vectorized. Unfortunately the integral function does not handle vectors for integral limits. Try the following

F = @(t) cos(t);
A = @(t) arrayfun(@(s)-integral(F,-10,s),s);
Z = @(t1,t2) -integral(A,t1,t2);

[Ole]

Thanks!