matlab - integral of a series which is a function -

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i quite lost matlab code.i appreciate help. need integrate series, function of variable x, on support of x.

i run following:

m=10; % finite summation uptill m      %step1: create series function: \sum_{1}_{m}(x^{n})     series=@(x,n)(sum(x.^(1:n)));      %styep2: call function m=10, x still undefined     ser=@(x)series(x,m);      % step3: integrate on x in given space x     h=integral(ser,1,2);

i get:

error using  .^  matrix dimensions must agree.  error in @(x,n)(sum(x.^(1:n)))  error in @(x)series(x,m)  error in integralcalc/iteratescalarvalued (line 314)                 fx = fun(t);  error in integralcalc/vadapt (line 133)             [q,errbnd] = iteratescalarvalued(u,tinterval,pathlen);  error in integralcalc (line 76)         [q,errbnd] = vadapt(@atobinvtransform,interval);  error in integral (line 89) q = integralcalc(fun,a,b,opstruct);  error in test (line 9) h=integral(ser,1,2);

any suggestions?

integral requires function integrated able handle vector arguments, ser has able evaluate ser([1 2 3]) example.

to allow ser deal vector inputs, use arrayfun apply series each element of input x individually:

ser=@(x) arrayfun(@(z)series(z,m),x);

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