Let be an odd function, integrable everywhere, with
Let be an even function, integrable everywhere, with
Prove the following:
- for all ;
- ;
- .
- Proof. We compute using the given properties,
- Again, we compute using the given properties of and ,
- Finally,
I think the book says that f is odd and g is even, so there is a mistake above.
in b , after the third = sign shouldnt there be a minus sign ?
He did two steps in one there.