Integration of a function multiplied by an array

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Ron Nativ
Ron Nativ 2021년 12월 8일
댓글: Ron Nativ 2021년 12월 8일
Hi all,
I want to integrate a symbolic function which is multiplied by a vector, for example:
syms x
y1 = linspace(0,1,10);
y2 = @(x) x.*y1;
q = integral(y2,0,1);
However, the integral execution fails due to 'Matrix dimensions must agree.'.
Is there a solution for this?
Thanks!
Ron

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Abolfazl Chaman Motlagh
Abolfazl Chaman Motlagh 2021년 12월 8일
your y2 function return Array for every single number as it's input.
syms x
y1 = linspace(0,1,10);
y2 = @(x) x.*y1;
y2(1)
ans = 1×10
0 0.1111 0.2222 0.3333 0.4444 0.5556 0.6667 0.7778 0.8889 1.0000
according to documentation of integral function if fun has Array output, you should use option ArrayValued:
q = integral(y2,0,1,'ArrayValued',true)
q = 1×10
0 0.0556 0.1111 0.1667 0.2222 0.2778 0.3333 0.3889 0.4444 0.5000

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