I am working on a program in Maple and got stuck in exchanging limits for integrals. For example, if I have an expression of following type.
Eq:=4*Int(f(x), x=0..1/3)+Int(x*f(x), x=0..2/3);
I want to convert it in to an expression of form
4*Int(f(x),x=0..x)-4*Int(y,x=1/3..x)+ Int(x*f(x), x=0..x)- Int(x*f(x), x=2/3..x)
In short, I want to split both the integral at x but flip in limits in the second integral. I tried as follows which did not work
Please, help me!
Thank you for your time.