Interactive Real Analysis7.4. Lebesgue Integral
Examples 7.4.18(d): Lebesgue Integral of Non-Negative Function
Suppose f is a non-negative integrable function such that
E f(x) dx = 0.
Show that then f = 0 except on a set of measure zero.
Context
E f(x) dx = 0.
Show that then f = 0 except on a set of measure zero.
Context