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

Answer 1

[Dyuman Joshi]

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

[SHAMA NOREEN]

Thank you

Answer 2

[Torsten]

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 =