integral definite, what is the code to implement it?

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I have to imlement this

Answers (2)

Basil C.
Basil C. on 23 Sep 2019
syms r
expr= 2*pi*rho*(omega- W/2)*W*r^3;
F = int(expr,a,b) ,it computes the definite integral of expr from a to b.

Walter Roberson
Walter Roberson on 23 Sep 2019
Assuming omega is a numeric vector and that an output is to be created for each:
syms pi rho Omega W r R
expr = 2*pi*rho*(Omega- W/2)*W*r^3;
Tn_inf = int(expr, r, 0, R);
all_Tn_inf = subs(Tn_inf, Omega, omega);

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