True of False ? if T prove it, if F give a counter-example.

Suppose that f & g are continuous functions on [a,b], then :

$\displaystyle \int_a^b f(x) \cdot g(x) \, dx \neq \left( \int_a^b f(x) \, dx \right) \cdot \left( \int_a^b g(x) \, dx \right)$