For each f C[0. 1] define L,(f) = F, where Show that L is a linear operator on C[0, 1] and then find L(ex)

For each f ˆˆ C[0. 1] define L,(f) = F, where

Show that L is a linear operator on C[0, 1] and then find L(ex) and L(x2).

F(x) = f(t)dt 0 x 1