Solving Integral in matlab

I need to solve this integral in matlab
Where a=1, b=0.71, c=0.53.
I have tried this in matlab
syms s
a=1;
b=0.71;
c=0.53;
f = 1/((s+a^2)*sqrt(((s+a)^2)*((s+b)^2)*((s+c)^2)));
F = int(f, 0, inf)
but I am unable to solve the problem

回答(2 个)

There are cases when int is unable to compute the value of definite integral. In such cases, use vpa to obtain the approximate numerical value
syms s
a = 1;
b = 0.71;
c = 0.53;
f = 1/((s+a^2)*sqrt(((s+a)^2)*((s+b)^2)*((s+c)^2)));
F = int(f, 0, inf);
val1 = vpa(F)
val1 = 
0.67917589608295134074024322188586
You can use vpaintegral directly as well -
val2 = vpaintegral(f,0,inf)
val2 = 
0.679176
syms s
a=sym('1');
b=sym('71/100');
c=sym('53/100');
f = 1/((s+a^2)*(s+a)*(s+b)*(s+c));
F = a*b*c/2*int(f)
F = 
limit(F-subs(F,s,0),s,Inf)
ans = 

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2023-4-17

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