- 493

- 0

[tex] \int_{0}^{c}dxf(x)g(x)=\int_{0}^{c}dxf(x)[g(x)]* [/tex]

with c a real number then my question is if the equality above implies necessarily that:

[tex] g(x)=[g(x)]* [/tex] so g is real where:

-f(x)>0 or 0 on the interval (0,c) and f is a real-valued function.

-c is an arbitrary and positive real number.