I have to show that if f is continuous in the interval [a,b] were λ≠0 is a constant, that we have the following;
The task is hinting that i need to use integration by substitution.
Im lost.. Please help.
I would do it this way, but the result is incomprehensible:
IntegrateChangeVariables[ Inactive[Integrate][ f[x - \[Lambda]], {x, a + \[Lambda], b + \[Lambda]}], t, t == x - \[Lambda]]
What a strange result, indeed - maybe a bug? For case (b) the result is as expected:
Refine[IntegrateChangeVariables[ Integrate[f[x/\[Lambda]], {x, a \[Lambda], b \[Lambda]}], t, t == x/\[Lambda]], \[Lambda] > 0] /. t -> x
