4.7 Let $ f $ be a continuous function on $ I = [-1, 1] $ with the property that $ Int_{I} x^n f(x) \ dx = 0 $ for $ n = 0, 1, ... $. Show that $ f $ is identically 0. \\ Proof In progress
4.7 Let $ f $ be a continuous function on $ I = [-1, 1] $ with the property that $ Int_{I} x^n f(x) \ dx = 0 $ for $ n = 0, 1, ... $. Show that $ f $ is identically 0. \\ Proof In progress