how to integral by series

I would like to do a cycle for t.

for example, function as t*exp(xyz),

then for t=1:5; there are vector

1*exp(xyz),2*exp(xyz),3*exp(xyz),4*exp(xyz),5*exp(xyz),

next step make sum, 1*exp(xyz)+2*exp(xyz)+3*exp(xyz)+4*exp(xyz)+5*exp(xyz),

finally, do integral by x,y,z varibles

f=0;

for t=1:5

f=f+@(x,y,z) t.*exp(xyz)

end

ff=integral3(@(x,y,z)f,0,1,0,1,0,1)

this is wrong code,but i don't know how to code right one

Answer 1

[Dyuman Joshi]

You can not add function handles together. Instead, you can add the integrals.

format long
f=0;
for t=1:5
    %I am assuming you want to do multiplication by using the notation xyz
    fun = @(x,y,z) t.*exp(x.*y.*z);
    %Adding integral values
    f = f + integral3(fun,0,1,0,1,0,1);
end
f

f = 
  17.197486087940671

[JICHAO ZHANG]

many thanks

[Torsten]

Or simply:

f = @(x,y,z) sum((1:5)*exp(x*y*z));
ff = integral3(@(X,Y,Z)arrayfun(@(x,y,z)f(x,y,z),X,Y,Z),0,1,0,1,0,1)

ff = 17.1975

[JICHAO ZHANG]

I see, great. using vector for t