Can this be integrated within MATLAB?

I have tried

syms X Beta base f

f = ((X./(1+Beta*(X./(base+1e-9))).^2)*base);

Fint = ((int(f,base,[0 1])));

Effective = (3*(1+base)^2)*Fint;

but this has resulted in the answer not being numerical but just displaying the integration

Answer 1

[Joel Archbold]

That still didn't work. I have attached my MATLAB file below. The integration is on line 173 of HW_2_1. I'm doing an assignment and the question asks for this integration. I assume that he doesn't want us to integrate it by hand and rather use MATLAB to do this

[Joel Archbold]

It's for a numerical solution rather than exact

[Torsten]

What are the variables involved ?

XC0, zeta, beta ? Arrays or scalars ?

If it's all numerical, I suggest

expr = XC0.*base.*(base+1e-9).^2./(base+1e-9+beta.*XC0).^2;
Integral = trapz(base,expr)

[Joel Archbold]

Thanks. I got it!

Answer 2

[Torsten]

syms XC0 beta zeta
f = XC0*zeta*(zeta+sym('1e-9'))^2/(zeta+sym('1e-9')+beta*XC0)^2
intf = int(f,zeta,0,1)

Output:

       2                                                                  2

    XC0 *beta*(1500000000*XC0*beta + 1)*log(1000000000*XC0*beta + 1)   XC0  *beta*(1500000000*

  - ---------------------------------------------------------------- + ----------------------

                               500000000


                                                                                          4

  XC0*beta + 1)*log(1000000000*XC0*beta + 1000000001)        2        XC0   1000000000*XC0 *b

  --------------------------------------------------- - 2*XC0 *beta + --- + -----------------

            500000000                                                  2     1000000000*XC0*b


     3      3     2                 4     3      3     2
  eta  + XC0 *beta    1000000000*XC0 *beta  + XC0 *beta
  ----------------- - ----------------------------------
  eta + 1000000001         1000000000*XC0*beta + 1