I'm sorry. I have the last question to you.
I am trying to use your third linearity formula to not equ, about which I asked before, but to re7 as in the following lines.
re7:=p(k)=alpha-gamma*q(k)-eta*Int(q(i), i = (0 .. M));
Then, the answer I could obtain was
int(p(k), k = (0 .. M)) = alpha M - gamma int(q(k), k = (0 .. M))
- g(eta int(q(i), i = (0 .. M)))
At the part of g(eta int(q(i), i = (0 .. M))), the linearity of g does not appear.
The right equation should be eta*M*int(q(i), i = (0 .. M)).
And, as for the first and second fomula you kindly taught me, gamma is not put out of the argument of the integral, not put in front of int, like
-gamma*int(q(k), k = 0 .. M))
So, the third fomula is best to me, but it wouldn't work when I changed from equ to re7.
If you have a tolerance to me who continue to ask a question to you repeatedly not asking my question fully in advance, I hope you will answer to my question of this time.