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

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Ole
Ole il 23 Mar 2016
Commentato: Ole il 23 Mar 2016
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)

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Justin Griffiths
Justin Griffiths il 23 Mar 2016
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);

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