how to write code for intergral with two variables?

I want to plot this function
f={(1+cos(w))*cos(w*x)}/(pi^2-w^2)+sin(w)*sin(w*x)/(pi^2-w^2)
int(f,w,0,n)
so i wrote code for this function
ㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡ
x=-3:0.01:3;
syms w
A=(1+cos(w))*cos(w*x);
B=sin(w)*sin(w*x);
C=pi^2-w^2;
f=A/C+B/C;
F5=int(f,'w',0,5)
plot(x,F5)
ㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡ
then the process did not finish. what's wrong on my code?
and how to plot this function?

回答(1 个)

I understand that you are trying to get integral values at 600 values of x, which is taking so much time to run. You can use “fplot” function to plot any symbolic expressions in required interval.
syms w x
pi = sym(pi)
A=(1+cos(w))*cos(w*x);
B=sin(w)*sin(w*x);
C=pi^2-w^2;
f=A/C+B/C
F5=int(f,w,0,5)
fplot(F5, [-3, 3])

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