MATLAB: Symbolic Math Toolbox Explicit integral

explicit integral

Hi having a bug with symbolic calculation. If you would be happy to help

int(sym('1/sqrt((x-a)*(x-b)*(x-c)*(x-d)*(x-e)*(x-f))'))

returns

Warning: Explicit integral could not be found.

p.s:sorry my English

Best Answer

There is no explicit integral for that, at least not with respect to x.

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MATLAB: Am I unable to integrate the HEAVISIDE function symbolically in certain forms using the Symbolic Math Toolbox 3.1 (R14)

This issue is a bug in the Maple kernel that Symbolic Math Toolbox 3.1 (R14) uses to perform symbolic integration. Maple does not recognize the second integrand expression as satisfying the formula it uses to calculate the first integral.

Adding a call to the SIMPLIFY function to the end of the code will return the correct result, as shown in the following example:

clear all
syms t x
f = heaviside(t-x)*heaviside(x);
g = int(f,x,-Inf,Inf)
h=simplify(g)

Note:

This solution is is applicable to releases of MATLAB before MATLAB 7.5 (R2007b). The computation engine used for the Symbolic Math Toolbox has since changed.

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>> fun = @(a,b)quadgk(@(x)sin(a.*x).^2.*exp(-b.*x.^2)./x.^2,0,inf);
>> fun(1,1)
ans =
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Best Answer

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