Question

12. Exactly how many of the following four mathematical statements are always true: (i) The definite integral represents area under a curve or beneath a curve. (ii) The definite integral is a function obtained by taking the limit of a special sum. (iii) The definite integral of a function g(x) is a function G() such that G(x) dx = g(x) e is defined to be F(b) - F(a) where F is any antiderivative of (a) 4 (b) 3 (c) 2 (d) 1 (e) o