Let f: [0, ) R be a continuous function such that f(x)=1-2x+sex-f(t)dt for all x = [0, ). Then, which of the following statement(s) is (are) TRUE? (A) The curve y = f(x) passes through the point (1, 2) (B) The curve y = f(x) passes through the point (2, -1) -2 (C) The area of the region {(x, y) = [0, 1] x R: f(x) y 1-x} is -1 (D) The area of the region {(x, y) = [0, 1] x R : f(x) y 1-x } is 4