I'm not sure it's true. If I have a mistake, can you fix it...

I'm not sure it's true. If I have a mistake, can you fix it

syms x y z;

f0=-4*z*exp(-x^2*y-z^2)*cos(x^2*y)-10*cos(x^2*y)*y*x^2+4*sin(x^2*y)*x^4*y^2+4*cos(x^2*y)*x^4*y^2-sin(x^2*y);

f1=int(f0,z);

f1=int(f1,y);

f1=int(f1,x);f1=simplify(int(f1,x))

f2=int(f0,z);

f2=int(f2,x);

f2=int(f2,x);

f2=int(f2,x);

f2=simplify(int(f2,y))

Answer 1

[Steven Lord]

f0=-4*z*exp(-x^2*y-z^2)*cos(x^2*y)-10*cos(x^2*y)*y*x^2+4*sin(x^2*y)*x^4*y^2+4*cos(x^2*y)*x^4*y^2-sin(x^2*y);

This multiplies the exponential term only by the first cosine term. That doesn't match the problem as written. You're missing a set of parentheses.

[Bilal Ates]

Could you complete the lack

[Bilal Ates]

f0=-4*z*exp(-x^2*y-z^2)*(cos(x^2*y)-10*cos(x^2*y)*y*x^2+4*sin(x^2*y)*x^4*y^2+4*cos(x^2*y)*x^4*y^2-sin(x^2*y));

is it actually this way?

[Bilal Ates]

syms x y z;

f0=-4*z*exp(-x^2*y-z^2)*(cos(x^2*y)-10*cos(x^2*y)*y*x^2+4*sin(x^2*y)*x^4*y^2+4*cos(x^2*y)*x^4*y^2-sin(x^2*y));

f1=int(f0,z);

f1=int(f1,y);

f1=int(f1,x);

f1=simplify(int(f1,x))

f2=int(f0,z);

f2=int(f2,y);

f2=int(f2,x);

f2=simplify(int(f2,y))

f3=int(f0,z);

f3=int(f3,y);

f3=int(f3,x);

f3=simplify(int(f3,z))