Numerical Integration with limits-dependent parameters

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etienne
etienne 2017-11-8
评论： etienne 2017-11-9
Hi,
I'm looking at integrating numerically a function which has two parameters dependent of the integral limits such as e.g.:
integral from x=-1 to x=1 of f(x)=a^2*(c1*b^2 - c2*b + c3)
where a and b are parameters specified at x=-1 and x=1. And c1, c2, c3 are constants.
So far I've tried to do it like this but struggling to define the parameters
fun = @(x) a^2*(c1 * b^2 - c2 * b + c3);
q = integral(fun,-1,1);
Thanks for the help.
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Torsten
Torsten 2017-11-9
You said the coefficients depend on the integral limits, now they depend on the integration variable.
And the construction
a = @(x) x*(a(xmax) - a(xmin)) + (xmax - xmin);
b = @(x) x*(b(xmax) - b(xmin)) + (xmax - xmin);
where a and b call themselves inside the function handle looks very strange to me.
Best wishes
Torsten.
etienne
etienne 2017-11-9
Sorry if that was not clear. Basically I have a value of 'a' and 'b' at 'xmin' and 'xmax' [a(xmin),a(xmax),b(xmin),b(xmax)]. What I did earlier was to define 'a' and 'b' as functions of 'x'. Not sure that's correct though.

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